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Finding the Fourth Proportional to 83,058.38, 114,633.69 and 52,812.17

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Solution

The fourth proportional to 83,058.38, 114,633.69 and 52,812.17 is: 72,889.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,058.38 : 114,633.69 = 52,812.17 : x
  2. Step 2: Convert to fraction form
    83,058.38/114,633.69 = 52,812.17/x
  3. Step 3: Cross multiply
    83,058.38x = 114,633.69 × 52,812.17
  4. Step 4: Simplify right side
    83,058.38x = 6,054,053,924.01
  5. Step 5: Solve for x
    x = 6,054,053,924.01/83,058.38
  6. Step 6: Final answer
    x = 72,889.14

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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.