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Finding the Fourth Proportional to 32,061.90, 48,098.12 and 9,875.28

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Solution

The fourth proportional to 32,061.90, 48,098.12 and 9,875.28 is: 14,814.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,061.90 : 48,098.12 = 9,875.28 : x
  2. Step 2: Convert to fraction form
    32,061.90/48,098.12 = 9,875.28/x
  3. Step 3: Cross multiply
    32,061.90x = 48,098.12 × 9,875.28
  4. Step 4: Simplify right side
    32,061.90x = 474,982,353.10
  5. Step 5: Solve for x
    x = 474,982,353.10/32,061.90
  6. Step 6: Final answer
    x = 14,814.54

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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.