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Finding the Fourth Proportional to 83,622.41, 115,399.05 and 47,813.19

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Solution

The fourth proportional to 83,622.41, 115,399.05 and 47,813.19 is: 65,982.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,622.41 : 115,399.05 = 47,813.19 : x
  2. Step 2: Convert to fraction form
    83,622.41/115,399.05 = 47,813.19/x
  3. Step 3: Cross multiply
    83,622.41x = 115,399.05 × 47,813.19
  4. Step 4: Simplify right side
    83,622.41x = 5,517,596,091.42
  5. Step 5: Solve for x
    x = 5,517,596,091.42/83,622.41
  6. Step 6: Final answer
    x = 65,982.27

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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.