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Finding the Fourth Proportional to 52,706.88, 72,723.60 and 31,482

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Solution

The fourth proportional to 52,706.88, 72,723.60 and 31,482 is: 43,438.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,706.88 : 72,723.60 = 31,482 : x
  2. Step 2: Convert to fraction form
    52,706.88/72,723.60 = 31,482/x
  3. Step 3: Cross multiply
    52,706.88x = 72,723.60 × 31,482
  4. Step 4: Simplify right side
    52,706.88x = 2,289,484,375.20
  5. Step 5: Solve for x
    x = 2,289,484,375.20/52,706.88
  6. Step 6: Final answer
    x = 43,438.06

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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.