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Finding the Fourth Proportional to 83,062.65, 114,637.41 and 47,245.74

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Solution

The fourth proportional to 83,062.65, 114,637.41 and 47,245.74 is: 65,205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,062.65 : 114,637.41 = 47,245.74 : x
  2. Step 2: Convert to fraction form
    83,062.65/114,637.41 = 47,245.74/x
  3. Step 3: Cross multiply
    83,062.65x = 114,637.41 × 47,245.74
  4. Step 4: Simplify right side
    83,062.65x = 5,416,129,267.13
  5. Step 5: Solve for x
    x = 5,416,129,267.13/83,062.65
  6. Step 6: Final answer
    x = 65,205.35

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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.