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Finding the Fourth Proportional to 61,002, 84,182.74 and 34,144.50

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Solution

The fourth proportional to 61,002, 84,182.74 and 34,144.50 is: 47,119.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,002 : 84,182.74 = 34,144.50 : x
  2. Step 2: Convert to fraction form
    61,002/84,182.74 = 34,144.50/x
  3. Step 3: Cross multiply
    61,002x = 84,182.74 × 34,144.50
  4. Step 4: Simplify right side
    61,002x = 2,874,377,565.93
  5. Step 5: Solve for x
    x = 2,874,377,565.93/61,002
  6. Step 6: Final answer
    x = 47,119.40

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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.