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Finding the Fourth Proportional to 42,014.90, 63,046.65 and 15,722.30

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Solution

The fourth proportional to 42,014.90, 63,046.65 and 15,722.30 is: 23,592.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,014.90 : 63,046.65 = 15,722.30 : x
  2. Step 2: Convert to fraction form
    42,014.90/63,046.65 = 15,722.30/x
  3. Step 3: Cross multiply
    42,014.90x = 63,046.65 × 15,722.30
  4. Step 4: Simplify right side
    42,014.90x = 991,238,345.30
  5. Step 5: Solve for x
    x = 991,238,345.30/42,014.90
  6. Step 6: Final answer
    x = 23,592.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.