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Finding the Fourth Proportional to 83,010.44, 114,553.88 and 47,200.46

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Solution

The fourth proportional to 83,010.44, 114,553.88 and 47,200.46 is: 65,136.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,010.44 : 114,553.88 = 47,200.46 : x
  2. Step 2: Convert to fraction form
    83,010.44/114,553.88 = 47,200.46/x
  3. Step 3: Cross multiply
    83,010.44x = 114,553.88 × 47,200.46
  4. Step 4: Simplify right side
    83,010.44x = 5,406,995,022.01
  5. Step 5: Solve for x
    x = 5,406,995,022.01/83,010.44
  6. Step 6: Final answer
    x = 65,136.33

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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.