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Finding the Fourth Proportional to 42,229.68, 57,966.50 and 37,342.53

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Solution

The fourth proportional to 42,229.68, 57,966.50 and 37,342.53 is: 51,258.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,229.68 : 57,966.50 = 37,342.53 : x
  2. Step 2: Convert to fraction form
    42,229.68/57,966.50 = 37,342.53/x
  3. Step 3: Cross multiply
    42,229.68x = 57,966.50 × 37,342.53
  4. Step 4: Simplify right side
    42,229.68x = 2,164,615,765.25
  5. Step 5: Solve for x
    x = 2,164,615,765.25/42,229.68
  6. Step 6: Final answer
    x = 51,258.16

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.