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Finding the Fourth Proportional to 83,496.94, 115,233.75 and 47,692.30

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Solution

The fourth proportional to 83,496.94, 115,233.75 and 47,692.30 is: 65,819.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,496.94 : 115,233.75 = 47,692.30 : x
  2. Step 2: Convert to fraction form
    83,496.94/115,233.75 = 47,692.30/x
  3. Step 3: Cross multiply
    83,496.94x = 115,233.75 × 47,692.30
  4. Step 4: Simplify right side
    83,496.94x = 5,495,762,575.13
  5. Step 5: Solve for x
    x = 5,495,762,575.13/83,496.94
  6. Step 6: Final answer
    x = 65,819.93

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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.