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Finding the Fourth Proportional to 34,193.88, 51,251.58 and 15,687

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Solution

The fourth proportional to 34,193.88, 51,251.58 and 15,687 is: 23,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,193.88 : 51,251.58 = 15,687 : x
  2. Step 2: Convert to fraction form
    34,193.88/51,251.58 = 15,687/x
  3. Step 3: Cross multiply
    34,193.88x = 51,251.58 × 15,687
  4. Step 4: Simplify right side
    34,193.88x = 803,983,535.46
  5. Step 5: Solve for x
    x = 803,983,535.46/34,193.88
  6. Step 6: Final answer
    x = 23,512.50

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1.5x scale

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.