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Finding the Fourth Proportional to 61,742.40, 85,204.56 and 34,884.96

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Solution

The fourth proportional to 61,742.40, 85,204.56 and 34,884.96 is: 48,141.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,742.40 : 85,204.56 = 34,884.96 : x
  2. Step 2: Convert to fraction form
    61,742.40/85,204.56 = 34,884.96/x
  3. Step 3: Cross multiply
    61,742.40x = 85,204.56 × 34,884.96
  4. Step 4: Simplify right side
    61,742.40x = 2,972,357,667.42
  5. Step 5: Solve for x
    x = 2,972,357,667.42/61,742.40
  6. Step 6: Final answer
    x = 48,141.27

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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.