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Finding the Fourth Proportional to 32,332.71, 48,463.11 and 13,607.22

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Solution

The fourth proportional to 32,332.71, 48,463.11 and 13,607.22 is: 20,395.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,332.71 : 48,463.11 = 13,607.22 : x
  2. Step 2: Convert to fraction form
    32,332.71/48,463.11 = 13,607.22/x
  3. Step 3: Cross multiply
    32,332.71x = 48,463.11 × 13,607.22
  4. Step 4: Simplify right side
    32,332.71x = 659,448,199.65
  5. Step 5: Solve for x
    x = 659,448,199.65/32,332.71
  6. Step 6: Final answer
    x = 20,395.70

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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.