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Finding the Fourth Proportional to 29,686.72, 44,530.80 and 9,965.92

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Solution

The fourth proportional to 29,686.72, 44,530.80 and 9,965.92 is: 14,949.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,686.72 : 44,530.80 = 9,965.92 : x
  2. Step 2: Convert to fraction form
    29,686.72/44,530.80 = 9,965.92/x
  3. Step 3: Cross multiply
    29,686.72x = 44,530.80 × 9,965.92
  4. Step 4: Simplify right side
    29,686.72x = 443,790,390.34
  5. Step 5: Solve for x
    x = 443,790,390.34/29,686.72
  6. Step 6: Final answer
    x = 14,949.12

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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.