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Finding the Fourth Proportional to 77,842.49, 116,721.97 and 24,524.51

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Solution

The fourth proportional to 77,842.49, 116,721.97 and 24,524.51 is: 36,773.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,842.49 : 116,721.97 = 24,524.51 : x
  2. Step 2: Convert to fraction form
    77,842.49/116,721.97 = 24,524.51/x
  3. Step 3: Cross multiply
    77,842.49x = 116,721.97 × 24,524.51
  4. Step 4: Simplify right side
    77,842.49x = 2,862,548,475.56
  5. Step 5: Solve for x
    x = 2,862,548,475.56/77,842.49
  6. Step 6: Final answer
    x = 36,773.60

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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.