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Finding the Fourth Proportional to 57,570.78, 86,356.17 and 32,929.50

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Solution

The fourth proportional to 57,570.78, 86,356.17 and 32,929.50 is: 49,394.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,570.78 : 86,356.17 = 32,929.50 : x
  2. Step 2: Convert to fraction form
    57,570.78/86,356.17 = 32,929.50/x
  3. Step 3: Cross multiply
    57,570.78x = 86,356.17 × 32,929.50
  4. Step 4: Simplify right side
    57,570.78x = 2,843,665,500.02
  5. Step 5: Solve for x
    x = 2,843,665,500.02/57,570.78
  6. Step 6: Final answer
    x = 49,394.25

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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.