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Finding the Fourth Proportional to 61,763.76, 85,233.96 and 33,469.20

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Solution

The fourth proportional to 61,763.76, 85,233.96 and 33,469.20 is: 46,187.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,763.76 : 85,233.96 = 33,469.20 : x
  2. Step 2: Convert to fraction form
    61,763.76/85,233.96 = 33,469.20/x
  3. Step 3: Cross multiply
    61,763.76x = 85,233.96 × 33,469.20
  4. Step 4: Simplify right side
    61,763.76x = 2,852,712,454.03
  5. Step 5: Solve for x
    x = 2,852,712,454.03/61,763.76
  6. Step 6: Final answer
    x = 46,187.48

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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.