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Finding the Fourth Proportional to 83,493.11, 115,225.13 and 47,694.76

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Solution

The fourth proportional to 83,493.11, 115,225.13 and 47,694.76 is: 65,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,493.11 : 115,225.13 = 47,694.76 : x
  2. Step 2: Convert to fraction form
    83,493.11/115,225.13 = 47,694.76/x
  3. Step 3: Cross multiply
    83,493.11x = 115,225.13 × 47,694.76
  4. Step 4: Simplify right side
    83,493.11x = 5,495,634,752.49
  5. Step 5: Solve for x
    x = 5,495,634,752.49/83,493.11
  6. Step 6: Final answer
    x = 65,821.41

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Double scale
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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.