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Finding the Fourth Proportional to 32,344.31, 48,516.47 and 8,970.75

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Solution

The fourth proportional to 32,344.31, 48,516.47 and 8,970.75 is: 13,456.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,344.31 : 48,516.47 = 8,970.75 : x
  2. Step 2: Convert to fraction form
    32,344.31/48,516.47 = 8,970.75/x
  3. Step 3: Cross multiply
    32,344.31x = 48,516.47 × 8,970.75
  4. Step 4: Simplify right side
    32,344.31x = 435,229,112.04
  5. Step 5: Solve for x
    x = 435,229,112.04/32,344.31
  6. Step 6: Final answer
    x = 13,456.13

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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.