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Finding the Fourth Proportional to 55,209, 76,188.78 and 30,058.68

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Solution

The fourth proportional to 55,209, 76,188.78 and 30,058.68 is: 41,481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,209 : 76,188.78 = 30,058.68 : x
  2. Step 2: Convert to fraction form
    55,209/76,188.78 = 30,058.68/x
  3. Step 3: Cross multiply
    55,209x = 76,188.78 × 30,058.68
  4. Step 4: Simplify right side
    55,209x = 2,290,134,157.61
  5. Step 5: Solve for x
    x = 2,290,134,157.61/55,209
  6. Step 6: Final answer
    x = 41,481.17

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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.