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Finding the Fourth Proportional to 83,014.70, 114,559.74 and 47,204.73

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Solution

The fourth proportional to 83,014.70, 114,559.74 and 47,204.73 is: 65,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,014.70 : 114,559.74 = 47,204.73 : x
  2. Step 2: Convert to fraction form
    83,014.70/114,559.74 = 47,204.73/x
  3. Step 3: Cross multiply
    83,014.70x = 114,559.74 × 47,204.73
  4. Step 4: Simplify right side
    83,014.70x = 5,407,761,595.57
  5. Step 5: Solve for x
    x = 5,407,761,595.57/83,014.70
  6. Step 6: Final answer
    x = 65,142.22

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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.