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Finding the Fourth Proportional to 29,498.40, 44,260.56 and 15,644

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Solution

The fourth proportional to 29,498.40, 44,260.56 and 15,644 is: 23,472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,498.40 : 44,260.56 = 15,644 : x
  2. Step 2: Convert to fraction form
    29,498.40/44,260.56 = 15,644/x
  3. Step 3: Cross multiply
    29,498.40x = 44,260.56 × 15,644
  4. Step 4: Simplify right side
    29,498.40x = 692,412,200.64
  5. Step 5: Solve for x
    x = 692,412,200.64/29,498.40
  6. Step 6: Final answer
    x = 23,472.87

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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.