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Finding the Fourth Proportional to 83,212.93, 114,805.80 and 47,377.59

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Solution

The fourth proportional to 83,212.93, 114,805.80 and 47,377.59 is: 65,365.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,212.93 : 114,805.80 = 47,377.59 : x
  2. Step 2: Convert to fraction form
    83,212.93/114,805.80 = 47,377.59/x
  3. Step 3: Cross multiply
    83,212.93x = 114,805.80 × 47,377.59
  4. Step 4: Simplify right side
    83,212.93x = 5,439,222,122.02
  5. Step 5: Solve for x
    x = 5,439,222,122.02/83,212.93
  6. Step 6: Final answer
    x = 65,365.11

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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.