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Finding the Fourth Proportional to 32,102.01, 48,149.91 and 9,909.39

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Solution

The fourth proportional to 32,102.01, 48,149.91 and 9,909.39 is: 14,863.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,102.01 : 48,149.91 = 9,909.39 : x
  2. Step 2: Convert to fraction form
    32,102.01/48,149.91 = 9,909.39/x
  3. Step 3: Cross multiply
    32,102.01x = 48,149.91 × 9,909.39
  4. Step 4: Simplify right side
    32,102.01x = 477,136,236.65
  5. Step 5: Solve for x
    x = 477,136,236.65/32,102.01
  6. Step 6: Final answer
    x = 14,863.13

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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.