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Finding the Fourth Proportional to 29,349.14, 44,023.71 and 13,766.77

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Solution

The fourth proportional to 29,349.14, 44,023.71 and 13,766.77 is: 20,650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,349.14 : 44,023.71 = 13,766.77 : x
  2. Step 2: Convert to fraction form
    29,349.14/44,023.71 = 13,766.77/x
  3. Step 3: Cross multiply
    29,349.14x = 44,023.71 × 13,766.77
  4. Step 4: Simplify right side
    29,349.14x = 606,064,123.33
  5. Step 5: Solve for x
    x = 606,064,123.33/29,349.14
  6. Step 6: Final answer
    x = 20,650.15

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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.