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Finding the Fourth Proportional to 32,512.47, 48,763.73 and 10,322.97

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Solution

The fourth proportional to 32,512.47, 48,763.73 and 10,322.97 is: 15,482.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,512.47 : 48,763.73 = 10,322.97 : x
  2. Step 2: Convert to fraction form
    32,512.47/48,763.73 = 10,322.97/x
  3. Step 3: Cross multiply
    32,512.47x = 48,763.73 × 10,322.97
  4. Step 4: Simplify right side
    32,512.47x = 503,386,470.26
  5. Step 5: Solve for x
    x = 503,386,470.26/32,512.47
  6. Step 6: Final answer
    x = 15,482.87

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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.