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Finding the Fourth Proportional to 83,077.75, 114,643.26 and 47,264.41

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Solution

The fourth proportional to 83,077.75, 114,643.26 and 47,264.41 is: 65,222.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,077.75 : 114,643.26 = 47,264.41 : x
  2. Step 2: Convert to fraction form
    83,077.75/114,643.26 = 47,264.41/x
  3. Step 3: Cross multiply
    83,077.75x = 114,643.26 × 47,264.41
  4. Step 4: Simplify right side
    83,077.75x = 5,418,546,044.38
  5. Step 5: Solve for x
    x = 5,418,546,044.38/83,077.75
  6. Step 6: Final answer
    x = 65,222.59

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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.