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Finding the Fourth Proportional to 83,959.50, 115,864.92 and 46,234.56

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Solution

The fourth proportional to 83,959.50, 115,864.92 and 46,234.56 is: 63,804.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,959.50 : 115,864.92 = 46,234.56 : x
  2. Step 2: Convert to fraction form
    83,959.50/115,864.92 = 46,234.56/x
  3. Step 3: Cross multiply
    83,959.50x = 115,864.92 × 46,234.56
  4. Step 4: Simplify right side
    83,959.50x = 5,356,963,595.64
  5. Step 5: Solve for x
    x = 5,356,963,595.64/83,959.50
  6. Step 6: Final answer
    x = 63,804.14

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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.