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Finding the Fourth Proportional to 32,881.52, 49,332 and 9,508.16

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Solution

The fourth proportional to 32,881.52, 49,332 and 9,508.16 is: 14,265.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,881.52 : 49,332 = 9,508.16 : x
  2. Step 2: Convert to fraction form
    32,881.52/49,332 = 9,508.16/x
  3. Step 3: Cross multiply
    32,881.52x = 49,332 × 9,508.16
  4. Step 4: Simplify right side
    32,881.52x = 469,056,549.12
  5. Step 5: Solve for x
    x = 469,056,549.12/32,881.52
  6. Step 6: Final answer
    x = 14,265.05

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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.