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Finding the Fourth Proportional to 83,395.35, 115,084.72 and 45,154.24

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Solution

The fourth proportional to 83,395.35, 115,084.72 and 45,154.24 is: 62,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,395.35 : 115,084.72 = 45,154.24 : x
  2. Step 2: Convert to fraction form
    83,395.35/115,084.72 = 45,154.24/x
  3. Step 3: Cross multiply
    83,395.35x = 115,084.72 × 45,154.24
  4. Step 4: Simplify right side
    83,395.35x = 5,196,563,067.21
  5. Step 5: Solve for x
    x = 5,196,563,067.21/83,395.35
  6. Step 6: Final answer
    x = 62,312.38

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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.