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Finding the Fourth Proportional to 118,039.92, 177,045.16 and 47,851.80

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Solution

The fourth proportional to 118,039.92, 177,045.16 and 47,851.80 is: 71,771.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,039.92 : 177,045.16 = 47,851.80 : x
  2. Step 2: Convert to fraction form
    118,039.92/177,045.16 = 47,851.80/x
  3. Step 3: Cross multiply
    118,039.92x = 177,045.16 × 47,851.80
  4. Step 4: Simplify right side
    118,039.92x = 8,471,929,587.29
  5. Step 5: Solve for x
    x = 8,471,929,587.29/118,039.92
  6. Step 6: Final answer
    x = 71,771.73

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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.