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Finding the Fourth Proportional to 71,605.92, 98,816.12 and 39,777.78

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Solution

The fourth proportional to 71,605.92, 98,816.12 and 39,777.78 is: 54,893.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,605.92 : 98,816.12 = 39,777.78 : x
  2. Step 2: Convert to fraction form
    71,605.92/98,816.12 = 39,777.78/x
  3. Step 3: Cross multiply
    71,605.92x = 98,816.12 × 39,777.78
  4. Step 4: Simplify right side
    71,605.92x = 3,930,685,881.81
  5. Step 5: Solve for x
    x = 3,930,685,881.81/71,605.92
  6. Step 6: Final answer
    x = 54,893.31

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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.