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Finding the Fourth Proportional to 42,006.96, 57,915.80 and 34,425.36

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Solution

The fourth proportional to 42,006.96, 57,915.80 and 34,425.36 is: 47,462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,006.96 : 57,915.80 = 34,425.36 : x
  2. Step 2: Convert to fraction form
    42,006.96/57,915.80 = 34,425.36/x
  3. Step 3: Cross multiply
    42,006.96x = 57,915.80 × 34,425.36
  4. Step 4: Simplify right side
    42,006.96x = 1,993,772,264.69
  5. Step 5: Solve for x
    x = 1,993,772,264.69/42,006.96
  6. Step 6: Final answer
    x = 47,462.90

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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.