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Finding the Fourth Proportional to 83,170.58, 114,775.28 and 47,360.59

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Solution

The fourth proportional to 83,170.58, 114,775.28 and 47,360.59 is: 65,357.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,170.58 : 114,775.28 = 47,360.59 : x
  2. Step 2: Convert to fraction form
    83,170.58/114,775.28 = 47,360.59/x
  3. Step 3: Cross multiply
    83,170.58x = 114,775.28 × 47,360.59
  4. Step 4: Simplify right side
    83,170.58x = 5,435,824,978.22
  5. Step 5: Solve for x
    x = 5,435,824,978.22/83,170.58
  6. Step 6: Final answer
    x = 65,357.55

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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.