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Finding the Fourth Proportional to 61,752.57, 85,217.44 and 34,894.50

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Solution

The fourth proportional to 61,752.57, 85,217.44 and 34,894.50 is: 48,153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,752.57 : 85,217.44 = 34,894.50 : x
  2. Step 2: Convert to fraction form
    61,752.57/85,217.44 = 34,894.50/x
  3. Step 3: Cross multiply
    61,752.57x = 85,217.44 × 34,894.50
  4. Step 4: Simplify right side
    61,752.57x = 2,973,619,960.08
  5. Step 5: Solve for x
    x = 2,973,619,960.08/61,752.57
  6. Step 6: Final answer
    x = 48,153.78

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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.