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Finding the Fourth Proportional to 100,981.83, 151,456.33 and 47,673.70

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Solution

The fourth proportional to 100,981.83, 151,456.33 and 47,673.70 is: 71,502.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,981.83 : 151,456.33 = 47,673.70 : x
  2. Step 2: Convert to fraction form
    100,981.83/151,456.33 = 47,673.70/x
  3. Step 3: Cross multiply
    100,981.83x = 151,456.33 × 47,673.70
  4. Step 4: Simplify right side
    100,981.83x = 7,220,483,898.98
  5. Step 5: Solve for x
    x = 7,220,483,898.98/100,981.83
  6. Step 6: Final answer
    x = 71,502.80

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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.