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Finding the Fourth Proportional to 83,161.38, 114,762.51 and 45,435.90

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Solution

The fourth proportional to 83,161.38, 114,762.51 and 45,435.90 is: 62,701.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,161.38 : 114,762.51 = 45,435.90 : x
  2. Step 2: Convert to fraction form
    83,161.38/114,762.51 = 45,435.90/x
  3. Step 3: Cross multiply
    83,161.38x = 114,762.51 × 45,435.90
  4. Step 4: Simplify right side
    83,161.38x = 5,214,337,928.11
  5. Step 5: Solve for x
    x = 5,214,337,928.11/83,161.38
  6. Step 6: Final answer
    x = 62,701.44

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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.