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Finding the Fourth Proportional to 73,513.76, 101,449.68 and 43,700

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Solution

The fourth proportional to 73,513.76, 101,449.68 and 43,700 is: 60,306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,513.76 : 101,449.68 = 43,700 : x
  2. Step 2: Convert to fraction form
    73,513.76/101,449.68 = 43,700/x
  3. Step 3: Cross multiply
    73,513.76x = 101,449.68 × 43,700
  4. Step 4: Simplify right side
    73,513.76x = 4,433,351,016
  5. Step 5: Solve for x
    x = 4,433,351,016/73,513.76
  6. Step 6: Final answer
    x = 60,306.41

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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.