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Finding the Fourth Proportional to 83,196.52, 114,811.16 and 45,470.77

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Solution

The fourth proportional to 83,196.52, 114,811.16 and 45,470.77 is: 62,749.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,196.52 : 114,811.16 = 45,470.77 : x
  2. Step 2: Convert to fraction form
    83,196.52/114,811.16 = 45,470.77/x
  3. Step 3: Cross multiply
    83,196.52x = 114,811.16 × 45,470.77
  4. Step 4: Simplify right side
    83,196.52x = 5,220,551,335.41
  5. Step 5: Solve for x
    x = 5,220,551,335.41/83,196.52
  6. Step 6: Final answer
    x = 62,749.64

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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.