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Finding the Fourth Proportional to 52,632.12, 72,598.38 and 31,395

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Solution

The fourth proportional to 52,632.12, 72,598.38 and 31,395 is: 43,304.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,632.12 : 72,598.38 = 31,395 : x
  2. Step 2: Convert to fraction form
    52,632.12/72,598.38 = 31,395/x
  3. Step 3: Cross multiply
    52,632.12x = 72,598.38 × 31,395
  4. Step 4: Simplify right side
    52,632.12x = 2,279,226,140.10
  5. Step 5: Solve for x
    x = 2,279,226,140.10/52,632.12
  6. Step 6: Final answer
    x = 43,304.85

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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.