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Finding the Fourth Proportional to 83,644.82, 115,414.96 and 47,346.08

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Solution

The fourth proportional to 83,644.82, 115,414.96 and 47,346.08 is: 65,329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,644.82 : 115,414.96 = 47,346.08 : x
  2. Step 2: Convert to fraction form
    83,644.82/115,414.96 = 47,346.08/x
  3. Step 3: Cross multiply
    83,644.82x = 115,414.96 × 47,346.08
  4. Step 4: Simplify right side
    83,644.82x = 5,464,445,692.63
  5. Step 5: Solve for x
    x = 5,464,445,692.63/83,644.82
  6. Step 6: Final answer
    x = 65,329.16

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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.