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Finding the Fourth Proportional to 57,569.28, 86,353.92 and 32,928

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Solution

The fourth proportional to 57,569.28, 86,353.92 and 32,928 is: 49,392

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,569.28 : 86,353.92 = 32,928 : x
  2. Step 2: Convert to fraction form
    57,569.28/86,353.92 = 32,928/x
  3. Step 3: Cross multiply
    57,569.28x = 86,353.92 × 32,928
  4. Step 4: Simplify right side
    57,569.28x = 2,843,461,877.76
  5. Step 5: Solve for x
    x = 2,843,461,877.76/57,569.28
  6. Step 6: Final answer
    x = 49,392

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.