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Finding the Fourth Proportional to 61,219.80, 84,491.85 and 34,002

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Solution

The fourth proportional to 61,219.80, 84,491.85 and 34,002 is: 46,927.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,219.80 : 84,491.85 = 34,002 : x
  2. Step 2: Convert to fraction form
    61,219.80/84,491.85 = 34,002/x
  3. Step 3: Cross multiply
    61,219.80x = 84,491.85 × 34,002
  4. Step 4: Simplify right side
    61,219.80x = 2,872,891,883.70
  5. Step 5: Solve for x
    x = 2,872,891,883.70/61,219.80
  6. Step 6: Final answer
    x = 46,927.50

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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.