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Finding the Fourth Proportional to 32,508.06, 48,756.57 and 9,129

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Solution

The fourth proportional to 32,508.06, 48,756.57 and 9,129 is: 13,691.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,508.06 : 48,756.57 = 9,129 : x
  2. Step 2: Convert to fraction form
    32,508.06/48,756.57 = 9,129/x
  3. Step 3: Cross multiply
    32,508.06x = 48,756.57 × 9,129
  4. Step 4: Simplify right side
    32,508.06x = 445,098,727.53
  5. Step 5: Solve for x
    x = 445,098,727.53/32,508.06
  6. Step 6: Final answer
    x = 13,691.95

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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.