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Finding the Fourth Proportional to 29,188.74, 43,789.27 and 9,465.76

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Solution

The fourth proportional to 29,188.74, 43,789.27 and 9,465.76 is: 14,200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,188.74 : 43,789.27 = 9,465.76 : x
  2. Step 2: Convert to fraction form
    29,188.74/43,789.27 = 9,465.76/x
  3. Step 3: Cross multiply
    29,188.74x = 43,789.27 × 9,465.76
  4. Step 4: Simplify right side
    29,188.74x = 414,498,720.40
  5. Step 5: Solve for x
    x = 414,498,720.40/29,188.74
  6. Step 6: Final answer
    x = 14,200.64

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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.