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Finding the Fourth Proportional to 32,459.68, 48,691.24 and 10,275.40

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Solution

The fourth proportional to 32,459.68, 48,691.24 and 10,275.40 is: 15,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,459.68 : 48,691.24 = 10,275.40 : x
  2. Step 2: Convert to fraction form
    32,459.68/48,691.24 = 10,275.40/x
  3. Step 3: Cross multiply
    32,459.68x = 48,691.24 × 10,275.40
  4. Step 4: Simplify right side
    32,459.68x = 500,321,967.50
  5. Step 5: Solve for x
    x = 500,321,967.50/32,459.68
  6. Step 6: Final answer
    x = 15,413.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.