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Finding the Fourth Proportional to 38,512.60, 57,768.90 and 17,776.60

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Solution

The fourth proportional to 38,512.60, 57,768.90 and 17,776.60 is: 26,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,512.60 : 57,768.90 = 17,776.60 : x
  2. Step 2: Convert to fraction form
    38,512.60/57,768.90 = 17,776.60/x
  3. Step 3: Cross multiply
    38,512.60x = 57,768.90 × 17,776.60
  4. Step 4: Simplify right side
    38,512.60x = 1,026,934,627.74
  5. Step 5: Solve for x
    x = 1,026,934,627.74/38,512.60
  6. Step 6: Final answer
    x = 26,664.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.