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Finding the Fourth Proportional to 29,144.50, 43,686.42 and 19,785.40

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Solution

The fourth proportional to 29,144.50, 43,686.42 and 19,785.40 is: 29,657.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,144.50 : 43,686.42 = 19,785.40 : x
  2. Step 2: Convert to fraction form
    29,144.50/43,686.42 = 19,785.40/x
  3. Step 3: Cross multiply
    29,144.50x = 43,686.42 × 19,785.40
  4. Step 4: Simplify right side
    29,144.50x = 864,353,294.27
  5. Step 5: Solve for x
    x = 864,353,294.27/29,144.50
  6. Step 6: Final answer
    x = 29,657.51

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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.