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Finding the Fourth Proportional to 29,758.53, 44,645.31 and 13,740.34

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Solution

The fourth proportional to 29,758.53, 44,645.31 and 13,740.34 is: 20,613.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,758.53 : 44,645.31 = 13,740.34 : x
  2. Step 2: Convert to fraction form
    29,758.53/44,645.31 = 13,740.34/x
  3. Step 3: Cross multiply
    29,758.53x = 44,645.31 × 13,740.34
  4. Step 4: Simplify right side
    29,758.53x = 613,441,738.81
  5. Step 5: Solve for x
    x = 613,441,738.81/29,758.53
  6. Step 6: Final answer
    x = 20,613.98

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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.