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Finding the Fourth Proportional to 42,957, 59,280.69 and 24,094.13

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Solution

The fourth proportional to 42,957, 59,280.69 and 24,094.13 is: 33,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,957 : 59,280.69 = 24,094.13 : x
  2. Step 2: Convert to fraction form
    42,957/59,280.69 = 24,094.13/x
  3. Step 3: Cross multiply
    42,957x = 59,280.69 × 24,094.13
  4. Step 4: Simplify right side
    42,957x = 1,428,316,445.30
  5. Step 5: Solve for x
    x = 1,428,316,445.30/42,957
  6. Step 6: Final answer
    x = 33,249.91

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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.