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Finding the Fourth Proportional to 83,115.16, 114,703.20 and 50,839.66

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Solution

The fourth proportional to 83,115.16, 114,703.20 and 50,839.66 is: 70,161.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,115.16 : 114,703.20 = 50,839.66 : x
  2. Step 2: Convert to fraction form
    83,115.16/114,703.20 = 50,839.66/x
  3. Step 3: Cross multiply
    83,115.16x = 114,703.20 × 50,839.66
  4. Step 4: Simplify right side
    83,115.16x = 5,831,471,688.91
  5. Step 5: Solve for x
    x = 5,831,471,688.91/83,115.16
  6. Step 6: Final answer
    x = 70,161.35

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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.