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Finding the Fourth Proportional to 32,471.47, 48,714.50 and 10,283.14

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Solution

The fourth proportional to 32,471.47, 48,714.50 and 10,283.14 is: 15,427.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,471.47 : 48,714.50 = 10,283.14 : x
  2. Step 2: Convert to fraction form
    32,471.47/48,714.50 = 10,283.14/x
  3. Step 3: Cross multiply
    32,471.47x = 48,714.50 × 10,283.14
  4. Step 4: Simplify right side
    32,471.47x = 500,938,023.53
  5. Step 5: Solve for x
    x = 500,938,023.53/32,471.47
  6. Step 6: Final answer
    x = 15,427.02

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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.