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Finding the Fourth Proportional to 83,891.98, 115,770.95 and 46,166.23

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Solution

The fourth proportional to 83,891.98, 115,770.95 and 46,166.23 is: 63,709.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,891.98 : 115,770.95 = 46,166.23 : x
  2. Step 2: Convert to fraction form
    83,891.98/115,770.95 = 46,166.23/x
  3. Step 3: Cross multiply
    83,891.98x = 115,770.95 × 46,166.23
  4. Step 4: Simplify right side
    83,891.98x = 5,344,708,305.02
  5. Step 5: Solve for x
    x = 5,344,708,305.02/83,891.98
  6. Step 6: Final answer
    x = 63,709.41

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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.