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Finding the Fourth Proportional to 83,592.39, 115,357.82 and 47,783.55

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Solution

The fourth proportional to 83,592.39, 115,357.82 and 47,783.55 is: 65,941.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,592.39 : 115,357.82 = 47,783.55 : x
  2. Step 2: Convert to fraction form
    83,592.39/115,357.82 = 47,783.55/x
  3. Step 3: Cross multiply
    83,592.39x = 115,357.82 × 47,783.55
  4. Step 4: Simplify right side
    83,592.39x = 5,512,205,920.94
  5. Step 5: Solve for x
    x = 5,512,205,920.94/83,592.39
  6. Step 6: Final answer
    x = 65,941.48

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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.