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Finding the Fourth Proportional to 31,658.81, 47,490.71 and 10,598.97

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Solution

The fourth proportional to 31,658.81, 47,490.71 and 10,598.97 is: 15,899.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,658.81 : 47,490.71 = 10,598.97 : x
  2. Step 2: Convert to fraction form
    31,658.81/47,490.71 = 10,598.97/x
  3. Step 3: Cross multiply
    31,658.81x = 47,490.71 × 10,598.97
  4. Step 4: Simplify right side
    31,658.81x = 503,352,557.57
  5. Step 5: Solve for x
    x = 503,352,557.57/31,658.81
  6. Step 6: Final answer
    x = 15,899.29

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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.