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Finding the Fourth Proportional to 83,482.29, 115,217.37 and 51,661.44

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Solution

The fourth proportional to 83,482.29, 115,217.37 and 51,661.44 is: 71,300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,482.29 : 115,217.37 = 51,661.44 : x
  2. Step 2: Convert to fraction form
    83,482.29/115,217.37 = 51,661.44/x
  3. Step 3: Cross multiply
    83,482.29x = 115,217.37 × 51,661.44
  4. Step 4: Simplify right side
    83,482.29x = 5,952,295,247.21
  5. Step 5: Solve for x
    x = 5,952,295,247.21/83,482.29
  6. Step 6: Final answer
    x = 71,300.10

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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.