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Finding the Fourth Proportional to 83,685.19, 115,486.38 and 45,959.44

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Solution

The fourth proportional to 83,685.19, 115,486.38 and 45,959.44 is: 63,424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,685.19 : 115,486.38 = 45,959.44 : x
  2. Step 2: Convert to fraction form
    83,685.19/115,486.38 = 45,959.44/x
  3. Step 3: Cross multiply
    83,685.19x = 115,486.38 × 45,959.44
  4. Step 4: Simplify right side
    83,685.19x = 5,307,689,352.43
  5. Step 5: Solve for x
    x = 5,307,689,352.43/83,685.19
  6. Step 6: Final answer
    x = 63,424.48

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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.