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Finding the Fourth Proportional to 77,144.80, 115,725.71 and 24,542.01

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Solution

The fourth proportional to 77,144.80, 115,725.71 and 24,542.01 is: 36,815.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,144.80 : 115,725.71 = 24,542.01 : x
  2. Step 2: Convert to fraction form
    77,144.80/115,725.71 = 24,542.01/x
  3. Step 3: Cross multiply
    77,144.80x = 115,725.71 × 24,542.01
  4. Step 4: Simplify right side
    77,144.80x = 2,840,141,532.08
  5. Step 5: Solve for x
    x = 2,840,141,532.08/77,144.80
  6. Step 6: Final answer
    x = 36,815.72

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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.