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Finding the Fourth Proportional to 83,493.66, 115,220.37 and 45,767.70

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Solution

The fourth proportional to 83,493.66, 115,220.37 and 45,767.70 is: 63,158.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,493.66 : 115,220.37 = 45,767.70 : x
  2. Step 2: Convert to fraction form
    83,493.66/115,220.37 = 45,767.70/x
  3. Step 3: Cross multiply
    83,493.66x = 115,220.37 × 45,767.70
  4. Step 4: Simplify right side
    83,493.66x = 5,273,371,328.05
  5. Step 5: Solve for x
    x = 5,273,371,328.05/83,493.66
  6. Step 6: Final answer
    x = 63,158.94

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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.