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Finding the Fourth Proportional to 62,221.76, 85,864.16 and 33,928

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Solution

The fourth proportional to 62,221.76, 85,864.16 and 33,928 is: 46,819.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,221.76 : 85,864.16 = 33,928 : x
  2. Step 2: Convert to fraction form
    62,221.76/85,864.16 = 33,928/x
  3. Step 3: Cross multiply
    62,221.76x = 85,864.16 × 33,928
  4. Step 4: Simplify right side
    62,221.76x = 2,913,199,220.48
  5. Step 5: Solve for x
    x = 2,913,199,220.48/62,221.76
  6. Step 6: Final answer
    x = 46,819.62

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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.