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Finding the Fourth Proportional to 32,468.40, 48,708.66 and 10,275.78

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Solution

The fourth proportional to 32,468.40, 48,708.66 and 10,275.78 is: 15,415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,468.40 : 48,708.66 = 10,275.78 : x
  2. Step 2: Convert to fraction form
    32,468.40/48,708.66 = 10,275.78/x
  3. Step 3: Cross multiply
    32,468.40x = 48,708.66 × 10,275.78
  4. Step 4: Simplify right side
    32,468.40x = 500,519,474.25
  5. Step 5: Solve for x
    x = 500,519,474.25/32,468.40
  6. Step 6: Final answer
    x = 15,415.59

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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.