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Finding the Fourth Proportional to 77,631.69, 116,472.15 and 27,710.70

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Solution

The fourth proportional to 77,631.69, 116,472.15 and 27,710.70 is: 41,574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,631.69 : 116,472.15 = 27,710.70 : x
  2. Step 2: Convert to fraction form
    77,631.69/116,472.15 = 27,710.70/x
  3. Step 3: Cross multiply
    77,631.69x = 116,472.15 × 27,710.70
  4. Step 4: Simplify right side
    77,631.69x = 3,227,524,807.01
  5. Step 5: Solve for x
    x = 3,227,524,807.01/77,631.69
  6. Step 6: Final answer
    x = 41,574.84

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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.