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Finding the Fourth Proportional to 83,369.25, 115,049.57 and 45,643.50

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Solution

The fourth proportional to 83,369.25, 115,049.57 and 45,643.50 is: 62,988.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,369.25 : 115,049.57 = 45,643.50 : x
  2. Step 2: Convert to fraction form
    83,369.25/115,049.57 = 45,643.50/x
  3. Step 3: Cross multiply
    83,369.25x = 115,049.57 × 45,643.50
  4. Step 4: Simplify right side
    83,369.25x = 5,251,264,820.08
  5. Step 5: Solve for x
    x = 5,251,264,820.08/83,369.25
  6. Step 6: Final answer
    x = 62,988.03

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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.