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Finding the Fourth Proportional to 62,114.14, 85,717.71 and 33,820

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Solution

The fourth proportional to 62,114.14, 85,717.71 and 33,820 is: 46,671.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,114.14 : 85,717.71 = 33,820 : x
  2. Step 2: Convert to fraction form
    62,114.14/85,717.71 = 33,820/x
  3. Step 3: Cross multiply
    62,114.14x = 85,717.71 × 33,820
  4. Step 4: Simplify right side
    62,114.14x = 2,898,972,952.20
  5. Step 5: Solve for x
    x = 2,898,972,952.20/62,114.14
  6. Step 6: Final answer
    x = 46,671.71

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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.