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Finding the Fourth Proportional to 83,069.80, 114,632.32 and 47,256.44

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Solution

The fourth proportional to 83,069.80, 114,632.32 and 47,256.44 is: 65,211.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,069.80 : 114,632.32 = 47,256.44 : x
  2. Step 2: Convert to fraction form
    83,069.80/114,632.32 = 47,256.44/x
  3. Step 3: Cross multiply
    83,069.80x = 114,632.32 × 47,256.44
  4. Step 4: Simplify right side
    83,069.80x = 5,417,115,352.14
  5. Step 5: Solve for x
    x = 5,417,115,352.14/83,069.80
  6. Step 6: Final answer
    x = 65,211.61

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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.