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Finding the Fourth Proportional to 31,706.10, 47,559.15 and 8,334.90

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Solution

The fourth proportional to 31,706.10, 47,559.15 and 8,334.90 is: 12,502.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706.10 : 47,559.15 = 8,334.90 : x
  2. Step 2: Convert to fraction form
    31,706.10/47,559.15 = 8,334.90/x
  3. Step 3: Cross multiply
    31,706.10x = 47,559.15 × 8,334.90
  4. Step 4: Simplify right side
    31,706.10x = 396,400,759.34
  5. Step 5: Solve for x
    x = 396,400,759.34/31,706.10
  6. Step 6: Final answer
    x = 12,502.35

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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.