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Finding the Fourth Proportional to 52,610.80, 72,584.04 and 31,096.04

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Solution

The fourth proportional to 52,610.80, 72,584.04 and 31,096.04 is: 42,901.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,610.80 : 72,584.04 = 31,096.04 : x
  2. Step 2: Convert to fraction form
    52,610.80/72,584.04 = 31,096.04/x
  3. Step 3: Cross multiply
    52,610.80x = 72,584.04 × 31,096.04
  4. Step 4: Simplify right side
    52,610.80x = 2,257,076,211.20
  5. Step 5: Solve for x
    x = 2,257,076,211.20/52,610.80
  6. Step 6: Final answer
    x = 42,901.39

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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.