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Finding the Fourth Proportional to 31,366.48, 47,061.92 and 13,823.92

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Solution

The fourth proportional to 31,366.48, 47,061.92 and 13,823.92 is: 20,741.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,366.48 : 47,061.92 = 13,823.92 : x
  2. Step 2: Convert to fraction form
    31,366.48/47,061.92 = 13,823.92/x
  3. Step 3: Cross multiply
    31,366.48x = 47,061.92 × 13,823.92
  4. Step 4: Simplify right side
    31,366.48x = 650,580,217.13
  5. Step 5: Solve for x
    x = 650,580,217.13/31,366.48
  6. Step 6: Final answer
    x = 20,741.26

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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.