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Finding the Fourth Proportional to 48,497.40, 66,970.40 and 36,540

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Solution

The fourth proportional to 48,497.40, 66,970.40 and 36,540 is: 50,458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,497.40 : 66,970.40 = 36,540 : x
  2. Step 2: Convert to fraction form
    48,497.40/66,970.40 = 36,540/x
  3. Step 3: Cross multiply
    48,497.40x = 66,970.40 × 36,540
  4. Step 4: Simplify right side
    48,497.40x = 2,447,098,233.30
  5. Step 5: Solve for x
    x = 2,447,098,233.30/48,497.40
  6. Step 6: Final answer
    x = 50,458.34

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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.