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Finding the Fourth Proportional to 83,204.40, 114,822.03 and 45,478.65

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Solution

The fourth proportional to 83,204.40, 114,822.03 and 45,478.65 is: 62,760.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,204.40 : 114,822.03 = 45,478.65 : x
  2. Step 2: Convert to fraction form
    83,204.40/114,822.03 = 45,478.65/x
  3. Step 3: Cross multiply
    83,204.40x = 114,822.03 × 45,478.65
  4. Step 4: Simplify right side
    83,204.40x = 5,221,950,914.66
  5. Step 5: Solve for x
    x = 5,221,950,914.66/83,204.40
  6. Step 6: Final answer
    x = 62,760.51

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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.