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Finding the Fourth Proportional to 77,006.52, 115,497.12 and 27,074.88

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Solution

The fourth proportional to 77,006.52, 115,497.12 and 27,074.88 is: 40,607.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,006.52 : 115,497.12 = 27,074.88 : x
  2. Step 2: Convert to fraction form
    77,006.52/115,497.12 = 27,074.88/x
  3. Step 3: Cross multiply
    77,006.52x = 115,497.12 × 27,074.88
  4. Step 4: Simplify right side
    77,006.52x = 3,127,070,664.35
  5. Step 5: Solve for x
    x = 3,127,070,664.35/77,006.52
  6. Step 6: Final answer
    x = 40,607.87

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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.