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Finding the Fourth Proportional to 55,057.86, 75,985.16 and 30,862.91

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Solution

The fourth proportional to 55,057.86, 75,985.16 and 30,862.91 is: 42,593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,057.86 : 75,985.16 = 30,862.91 : x
  2. Step 2: Convert to fraction form
    55,057.86/75,985.16 = 30,862.91/x
  3. Step 3: Cross multiply
    55,057.86x = 75,985.16 × 30,862.91
  4. Step 4: Simplify right side
    55,057.86x = 2,345,123,362.20
  5. Step 5: Solve for x
    x = 2,345,123,362.20/55,057.86
  6. Step 6: Final answer
    x = 42,593.80

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