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Finding the Fourth Proportional to 62,164.52, 85,784.46 and 35,306.96

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Solution

The fourth proportional to 62,164.52, 85,784.46 and 35,306.96 is: 48,722.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,164.52 : 85,784.46 = 35,306.96 : x
  2. Step 2: Convert to fraction form
    62,164.52/85,784.46 = 35,306.96/x
  3. Step 3: Cross multiply
    62,164.52x = 85,784.46 × 35,306.96
  4. Step 4: Simplify right side
    62,164.52x = 3,028,788,497.84
  5. Step 5: Solve for x
    x = 3,028,788,497.84/62,164.52
  6. Step 6: Final answer
    x = 48,722.14

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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.