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Finding the Fourth Proportional to 81,117.50, 121,590.09 and 47,853.23

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Solution

The fourth proportional to 81,117.50, 121,590.09 and 47,853.23 is: 71,729.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,117.50 : 121,590.09 = 47,853.23 : x
  2. Step 2: Convert to fraction form
    81,117.50/121,590.09 = 47,853.23/x
  3. Step 3: Cross multiply
    81,117.50x = 121,590.09 × 47,853.23
  4. Step 4: Simplify right side
    81,117.50x = 5,818,478,846.47
  5. Step 5: Solve for x
    x = 5,818,478,846.47/81,117.50
  6. Step 6: Final answer
    x = 71,729.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.