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Finding the Fourth Proportional to 81,409.40, 122,016.90 and 41,946.20

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Solution

The fourth proportional to 81,409.40, 122,016.90 and 41,946.20 is: 62,869.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,409.40 : 122,016.90 = 41,946.20 : x
  2. Step 2: Convert to fraction form
    81,409.40/122,016.90 = 41,946.20/x
  3. Step 3: Cross multiply
    81,409.40x = 122,016.90 × 41,946.20
  4. Step 4: Simplify right side
    81,409.40x = 5,118,145,290.78
  5. Step 5: Solve for x
    x = 5,118,145,290.78/81,409.40
  6. Step 6: Final answer
    x = 62,869.22

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1.5x scale

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.