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Finding the Fourth Proportional to 32,909.30, 49,375.47 and 9,537.14

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Solution

The fourth proportional to 32,909.30, 49,375.47 and 9,537.14 is: 14,309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,909.30 : 49,375.47 = 9,537.14 : x
  2. Step 2: Convert to fraction form
    32,909.30/49,375.47 = 9,537.14/x
  3. Step 3: Cross multiply
    32,909.30x = 49,375.47 × 9,537.14
  4. Step 4: Simplify right side
    32,909.30x = 470,900,769.96
  5. Step 5: Solve for x
    x = 470,900,769.96/32,909.30
  6. Step 6: Final answer
    x = 14,309.05

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Why These Related Problems?

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