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Finding the Fourth Proportional to 48,302.16, 72,452.88 and 31,766.64

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Solution

The fourth proportional to 48,302.16, 72,452.88 and 31,766.64 is: 47,649.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,302.16 : 72,452.88 = 31,766.64 : x
  2. Step 2: Convert to fraction form
    48,302.16/72,452.88 = 31,766.64/x
  3. Step 3: Cross multiply
    48,302.16x = 72,452.88 × 31,766.64
  4. Step 4: Simplify right side
    48,302.16x = 2,301,584,555.92
  5. Step 5: Solve for x
    x = 2,301,584,555.92/48,302.16
  6. Step 6: Final answer
    x = 47,649.72

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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.