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Finding the Fourth Proportional to 61,765.76, 85,236.72 and 33,471.20

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Solution

The fourth proportional to 61,765.76, 85,236.72 and 33,471.20 is: 46,190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,765.76 : 85,236.72 = 33,471.20 : x
  2. Step 2: Convert to fraction form
    61,765.76/85,236.72 = 33,471.20/x
  3. Step 3: Cross multiply
    61,765.76x = 85,236.72 × 33,471.20
  4. Step 4: Simplify right side
    61,765.76x = 2,852,975,302.46
  5. Step 5: Solve for x
    x = 2,852,975,302.46/61,765.76
  6. Step 6: Final answer
    x = 46,190.24

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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.