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Finding the Fourth Proportional to 83,207.74, 114,824.45 and 47,409.29

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Solution

The fourth proportional to 83,207.74, 114,824.45 and 47,409.29 is: 65,423.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,207.74 : 114,824.45 = 47,409.29 : x
  2. Step 2: Convert to fraction form
    83,207.74/114,824.45 = 47,409.29/x
  3. Step 3: Cross multiply
    83,207.74x = 114,824.45 × 47,409.29
  4. Step 4: Simplify right side
    83,207.74x = 5,443,745,649.14
  5. Step 5: Solve for x
    x = 5,443,745,649.14/83,207.74
  6. Step 6: Final answer
    x = 65,423.55

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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.