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Finding the Fourth Proportional to 83,116.74, 114,672.66 and 47,297.79

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Solution

The fourth proportional to 83,116.74, 114,672.66 and 47,297.79 is: 65,254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,116.74 : 114,672.66 = 47,297.79 : x
  2. Step 2: Convert to fraction form
    83,116.74/114,672.66 = 47,297.79/x
  3. Step 3: Cross multiply
    83,116.74x = 114,672.66 × 47,297.79
  4. Step 4: Simplify right side
    83,116.74x = 5,423,763,391.42
  5. Step 5: Solve for x
    x = 5,423,763,391.42/83,116.74
  6. Step 6: Final answer
    x = 65,254.77

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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.