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Finding the Fourth Proportional to 88,859.76, 133,134.12 and 51,846

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Solution

The fourth proportional to 88,859.76, 133,134.12 and 51,846 is: 77,678.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,859.76 : 133,134.12 = 51,846 : x
  2. Step 2: Convert to fraction form
    88,859.76/133,134.12 = 51,846/x
  3. Step 3: Cross multiply
    88,859.76x = 133,134.12 × 51,846
  4. Step 4: Simplify right side
    88,859.76x = 6,902,471,585.52
  5. Step 5: Solve for x
    x = 6,902,471,585.52/88,859.76
  6. Step 6: Final answer
    x = 77,678.26

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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.