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Finding the Fourth Proportional to 32,442.93, 48,646.17 and 10,261.89

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Solution

The fourth proportional to 32,442.93, 48,646.17 and 10,261.89 is: 15,387.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,442.93 : 48,646.17 = 10,261.89 : x
  2. Step 2: Convert to fraction form
    32,442.93/48,646.17 = 10,261.89/x
  3. Step 3: Cross multiply
    32,442.93x = 48,646.17 × 10,261.89
  4. Step 4: Simplify right side
    32,442.93x = 499,201,645.46
  5. Step 5: Solve for x
    x = 499,201,645.46/32,442.93
  6. Step 6: Final answer
    x = 15,387.07

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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.