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Finding the Fourth Proportional to 31,706.70, 47,560.05 and 9,520.26

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Solution

The fourth proportional to 31,706.70, 47,560.05 and 9,520.26 is: 14,280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706.70 : 47,560.05 = 9,520.26 : x
  2. Step 2: Convert to fraction form
    31,706.70/47,560.05 = 9,520.26/x
  3. Step 3: Cross multiply
    31,706.70x = 47,560.05 × 9,520.26
  4. Step 4: Simplify right side
    31,706.70x = 452,784,041.61
  5. Step 5: Solve for x
    x = 452,784,041.61/31,706.70
  6. Step 6: Final answer
    x = 14,280.39

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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.