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Finding the Fourth Proportional to 52,644.68, 72,640.50 and 31,422.68

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Solution

The fourth proportional to 52,644.68, 72,640.50 and 31,422.68 is: 43,357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,644.68 : 72,640.50 = 31,422.68 : x
  2. Step 2: Convert to fraction form
    52,644.68/72,640.50 = 31,422.68/x
  3. Step 3: Cross multiply
    52,644.68x = 72,640.50 × 31,422.68
  4. Step 4: Simplify right side
    52,644.68x = 2,282,559,186.54
  5. Step 5: Solve for x
    x = 2,282,559,186.54/52,644.68
  6. Step 6: Final answer
    x = 43,357.83

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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.