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Finding the Fourth Proportional to 32,542.90, 48,814.35 and 19,410.10

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Solution

The fourth proportional to 32,542.90, 48,814.35 and 19,410.10 is: 29,115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,542.90 : 48,814.35 = 19,410.10 : x
  2. Step 2: Convert to fraction form
    32,542.90/48,814.35 = 19,410.10/x
  3. Step 3: Cross multiply
    32,542.90x = 48,814.35 × 19,410.10
  4. Step 4: Simplify right side
    32,542.90x = 947,491,414.94
  5. Step 5: Solve for x
    x = 947,491,414.94/32,542.90
  6. Step 6: Final answer
    x = 29,115.15

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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.