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Finding the Fourth Proportional to 55,918, 77,167.38 and 30,768.04

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Solution

The fourth proportional to 55,918, 77,167.38 and 30,768.04 is: 42,460.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,918 : 77,167.38 = 30,768.04 : x
  2. Step 2: Convert to fraction form
    55,918/77,167.38 = 30,768.04/x
  3. Step 3: Cross multiply
    55,918x = 77,167.38 × 30,768.04
  4. Step 4: Simplify right side
    55,918x = 2,374,289,034.54
  5. Step 5: Solve for x
    x = 2,374,289,034.54/55,918
  6. Step 6: Final answer
    x = 42,460.19

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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.