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Finding the Fourth Proportional to 32,304.16, 48,462.72 and 11,527.12

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Solution

The fourth proportional to 32,304.16, 48,462.72 and 11,527.12 is: 17,292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,304.16 : 48,462.72 = 11,527.12 : x
  2. Step 2: Convert to fraction form
    32,304.16/48,462.72 = 11,527.12/x
  3. Step 3: Cross multiply
    32,304.16x = 48,462.72 × 11,527.12
  4. Step 4: Simplify right side
    32,304.16x = 558,635,588.97
  5. Step 5: Solve for x
    x = 558,635,588.97/32,304.16
  6. Step 6: Final answer
    x = 17,292.99

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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.