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Finding the Fourth Proportional to 31,706.61, 43,756.11 and 17,560.77

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Solution

The fourth proportional to 31,706.61, 43,756.11 and 17,560.77 is: 24,234.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706.61 : 43,756.11 = 17,560.77 : x
  2. Step 2: Convert to fraction form
    31,706.61/43,756.11 = 17,560.77/x
  3. Step 3: Cross multiply
    31,706.61x = 43,756.11 × 17,560.77
  4. Step 4: Simplify right side
    31,706.61x = 768,390,983.80
  5. Step 5: Solve for x
    x = 768,390,983.80/31,706.61
  6. Step 6: Final answer
    x = 24,234.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.