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Finding the Fourth Proportional to 83,387.70, 115,075.10 and 45,147.27

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Solution

The fourth proportional to 83,387.70, 115,075.10 and 45,147.27 is: 62,303.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,387.70 : 115,075.10 = 45,147.27 : x
  2. Step 2: Convert to fraction form
    83,387.70/115,075.10 = 45,147.27/x
  3. Step 3: Cross multiply
    83,387.70x = 115,075.10 × 45,147.27
  4. Step 4: Simplify right side
    83,387.70x = 5,195,327,154.38
  5. Step 5: Solve for x
    x = 5,195,327,154.38/83,387.70
  6. Step 6: Final answer
    x = 62,303.28

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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.