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Finding the Fourth Proportional to 29,572.62, 44,364.33 and 9,849.30

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Solution

The fourth proportional to 29,572.62, 44,364.33 and 9,849.30 is: 14,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,572.62 : 44,364.33 = 9,849.30 : x
  2. Step 2: Convert to fraction form
    29,572.62/44,364.33 = 9,849.30/x
  3. Step 3: Cross multiply
    29,572.62x = 44,364.33 × 9,849.30
  4. Step 4: Simplify right side
    29,572.62x = 436,957,595.47
  5. Step 5: Solve for x
    x = 436,957,595.47/29,572.62
  6. Step 6: Final answer
    x = 14,775.75

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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.