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Finding the Fourth Proportional to 42,000.64, 57,862.28 and 29,231.92

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Solution

The fourth proportional to 42,000.64, 57,862.28 and 29,231.92 is: 40,271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,000.64 : 57,862.28 = 29,231.92 : x
  2. Step 2: Convert to fraction form
    42,000.64/57,862.28 = 29,231.92/x
  3. Step 3: Cross multiply
    42,000.64x = 57,862.28 × 29,231.92
  4. Step 4: Simplify right side
    42,000.64x = 1,691,425,539.98
  5. Step 5: Solve for x
    x = 1,691,425,539.98/42,000.64
  6. Step 6: Final answer
    x = 40,271.42

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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.