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Finding the Fourth Proportional to 83,965.91, 115,713.51 and 60,051.06

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Solution

The fourth proportional to 83,965.91, 115,713.51 and 60,051.06 is: 82,756.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,965.91 : 115,713.51 = 60,051.06 : x
  2. Step 2: Convert to fraction form
    83,965.91/115,713.51 = 60,051.06/x
  3. Step 3: Cross multiply
    83,965.91x = 115,713.51 × 60,051.06
  4. Step 4: Simplify right side
    83,965.91x = 6,948,718,931.82
  5. Step 5: Solve for x
    x = 6,948,718,931.82/83,965.91
  6. Step 6: Final answer
    x = 82,756.43

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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.