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Finding the Fourth Proportional to 32,382.56, 48,567.36 and 9,002.72

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Solution

The fourth proportional to 32,382.56, 48,567.36 and 9,002.72 is: 13,502.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,382.56 : 48,567.36 = 9,002.72 : x
  2. Step 2: Convert to fraction form
    32,382.56/48,567.36 = 9,002.72/x
  3. Step 3: Cross multiply
    32,382.56x = 48,567.36 × 9,002.72
  4. Step 4: Simplify right side
    32,382.56x = 437,238,343.22
  5. Step 5: Solve for x
    x = 437,238,343.22/32,382.56
  6. Step 6: Final answer
    x = 13,502.28

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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.