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Finding the Fourth Proportional to 48,319, 72,517.74 and 24,952.12

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Solution

The fourth proportional to 48,319, 72,517.74 and 24,952.12 is: 37,448.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,319 : 72,517.74 = 24,952.12 : x
  2. Step 2: Convert to fraction form
    48,319/72,517.74 = 24,952.12/x
  3. Step 3: Cross multiply
    48,319x = 72,517.74 × 24,952.12
  4. Step 4: Simplify right side
    48,319x = 1,809,471,350.61
  5. Step 5: Solve for x
    x = 1,809,471,350.61/48,319
  6. Step 6: Final answer
    x = 37,448.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.