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Finding the Fourth Proportional to 55,058,204.09, 75,978,806.54 and 30,278,390.68

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Solution

The fourth proportional to 55,058,204.09, 75,978,806.54 and 30,278,390.68 is: 41,783,345.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,058,204.09 : 75,978,806.54 = 30,278,390.68 : x
  2. Step 2: Convert to fraction form
    55,058,204.09/75,978,806.54 = 30,278,390.68/x
  3. Step 3: Cross multiply
    55,058,204.09x = 75,978,806.54 × 30,278,390.68
  4. Step 4: Simplify right side
    55,058,204.09x = 2,300,515,987,953,135.50
  5. Step 5: Solve for x
    x = 2,300,515,987,953,135.50/55,058,204.09
  6. Step 6: Final answer
    x = 41,783,345.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.