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Finding the Fourth Proportional to 71,160.80, 106,743.36 and 24,413

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Solution

The fourth proportional to 71,160.80, 106,743.36 and 24,413 is: 36,620.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,160.80 : 106,743.36 = 24,413 : x
  2. Step 2: Convert to fraction form
    71,160.80/106,743.36 = 24,413/x
  3. Step 3: Cross multiply
    71,160.80x = 106,743.36 × 24,413
  4. Step 4: Simplify right side
    71,160.80x = 2,605,925,647.68
  5. Step 5: Solve for x
    x = 2,605,925,647.68/71,160.80
  6. Step 6: Final answer
    x = 36,620.24

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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.