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Finding the Fourth Proportional to 31,524.80, 47,290.24 and 10,460.40

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Solution

The fourth proportional to 31,524.80, 47,290.24 and 10,460.40 is: 15,691.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,524.80 : 47,290.24 = 10,460.40 : x
  2. Step 2: Convert to fraction form
    31,524.80/47,290.24 = 10,460.40/x
  3. Step 3: Cross multiply
    31,524.80x = 47,290.24 × 10,460.40
  4. Step 4: Simplify right side
    31,524.80x = 494,674,826.50
  5. Step 5: Solve for x
    x = 494,674,826.50/31,524.80
  6. Step 6: Final answer
    x = 15,691.61

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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.