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Finding the Fourth Proportional to 52,631.12, 72,597 and 31,394

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Solution

The fourth proportional to 52,631.12, 72,597 and 31,394 is: 43,303.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,631.12 : 72,597 = 31,394 : x
  2. Step 2: Convert to fraction form
    52,631.12/72,597 = 31,394/x
  3. Step 3: Cross multiply
    52,631.12x = 72,597 × 31,394
  4. Step 4: Simplify right side
    52,631.12x = 2,279,110,218
  5. Step 5: Solve for x
    x = 2,279,110,218/52,631.12
  6. Step 6: Final answer
    x = 43,303.47

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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.