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Finding the Fourth Proportional to 31,475.74, 47,220.95 and 10,414.93

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Solution

The fourth proportional to 31,475.74, 47,220.95 and 10,414.93 is: 15,624.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,475.74 : 47,220.95 = 10,414.93 : x
  2. Step 2: Convert to fraction form
    31,475.74/47,220.95 = 10,414.93/x
  3. Step 3: Cross multiply
    31,475.74x = 47,220.95 × 10,414.93
  4. Step 4: Simplify right side
    31,475.74x = 491,802,888.78
  5. Step 5: Solve for x
    x = 491,802,888.78/31,475.74
  6. Step 6: Final answer
    x = 15,624.82

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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.