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Finding the Fourth Proportional to 83,176.58, 114,803.66 and 47,375.39

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Solution

The fourth proportional to 83,176.58, 114,803.66 and 47,375.39 is: 65,389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,176.58 : 114,803.66 = 47,375.39 : x
  2. Step 2: Convert to fraction form
    83,176.58/114,803.66 = 47,375.39/x
  3. Step 3: Cross multiply
    83,176.58x = 114,803.66 × 47,375.39
  4. Step 4: Simplify right side
    83,176.58x = 5,438,868,165.93
  5. Step 5: Solve for x
    x = 5,438,868,165.93/83,176.58
  6. Step 6: Final answer
    x = 65,389.42

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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.