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Finding the Fourth Proportional to 80,338.16, 110,864.76 and 46,802

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Solution

The fourth proportional to 80,338.16, 110,864.76 and 46,802 is: 64,585.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,338.16 : 110,864.76 = 46,802 : x
  2. Step 2: Convert to fraction form
    80,338.16/110,864.76 = 46,802/x
  3. Step 3: Cross multiply
    80,338.16x = 110,864.76 × 46,802
  4. Step 4: Simplify right side
    80,338.16x = 5,188,692,497.52
  5. Step 5: Solve for x
    x = 5,188,692,497.52/80,338.16
  6. Step 6: Final answer
    x = 64,585.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.