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Finding the Fourth Proportional to 83,959.48, 115,864.86 and 46,234

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Solution

The fourth proportional to 83,959.48, 115,864.86 and 46,234 is: 63,803.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,959.48 : 115,864.86 = 46,234 : x
  2. Step 2: Convert to fraction form
    83,959.48/115,864.86 = 46,234/x
  3. Step 3: Cross multiply
    83,959.48x = 115,864.86 × 46,234
  4. Step 4: Simplify right side
    83,959.48x = 5,356,895,937.24
  5. Step 5: Solve for x
    x = 5,356,895,937.24/83,959.48
  6. Step 6: Final answer
    x = 63,803.35

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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.