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Finding the Fourth Proportional to 29,318.70, 43,978.14 and 7,132.08

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Solution

The fourth proportional to 29,318.70, 43,978.14 and 7,132.08 is: 10,698.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,318.70 : 43,978.14 = 7,132.08 : x
  2. Step 2: Convert to fraction form
    29,318.70/43,978.14 = 7,132.08/x
  3. Step 3: Cross multiply
    29,318.70x = 43,978.14 × 7,132.08
  4. Step 4: Simplify right side
    29,318.70x = 313,655,612.73
  5. Step 5: Solve for x
    x = 313,655,612.73/29,318.70
  6. Step 6: Final answer
    x = 10,698.14

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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.