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Finding the Fourth Proportional to 32,508.80, 48,760.32 and 15,862.40

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Solution

The fourth proportional to 32,508.80, 48,760.32 and 15,862.40 is: 23,792.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,508.80 : 48,760.32 = 15,862.40 : x
  2. Step 2: Convert to fraction form
    32,508.80/48,760.32 = 15,862.40/x
  3. Step 3: Cross multiply
    32,508.80x = 48,760.32 × 15,862.40
  4. Step 4: Simplify right side
    32,508.80x = 773,455,699.97
  5. Step 5: Solve for x
    x = 773,455,699.97/32,508.80
  6. Step 6: Final answer
    x = 23,792.19

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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.