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Finding the Fourth Proportional to 83,059.47, 114,630.48 and 49,078.95

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Solution

The fourth proportional to 83,059.47, 114,630.48 and 49,078.95 is: 67,733.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,059.47 : 114,630.48 = 49,078.95 : x
  2. Step 2: Convert to fraction form
    83,059.47/114,630.48 = 49,078.95/x
  3. Step 3: Cross multiply
    83,059.47x = 114,630.48 × 49,078.95
  4. Step 4: Simplify right side
    83,059.47x = 5,625,943,596.40
  5. Step 5: Solve for x
    x = 5,625,943,596.40/83,059.47
  6. Step 6: Final answer
    x = 67,733.92

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1.5x scale

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.