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Finding the Fourth Proportional to 57,203.20, 78,927.54 and 34,545.88

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Solution

The fourth proportional to 57,203.20, 78,927.54 and 34,545.88 is: 47,665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,203.20 : 78,927.54 = 34,545.88 : x
  2. Step 2: Convert to fraction form
    57,203.20/78,927.54 = 34,545.88/x
  3. Step 3: Cross multiply
    57,203.20x = 78,927.54 × 34,545.88
  4. Step 4: Simplify right side
    57,203.20x = 2,726,621,325.54
  5. Step 5: Solve for x
    x = 2,726,621,325.54/57,203.20
  6. Step 6: Final answer
    x = 47,665.54

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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.