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Finding the Fourth Proportional to 57,981.92, 86,825.22 and 38,200.51

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Solution

The fourth proportional to 57,981.92, 86,825.22 and 38,200.51 is: 57,203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,981.92 : 86,825.22 = 38,200.51 : x
  2. Step 2: Convert to fraction form
    57,981.92/86,825.22 = 38,200.51/x
  3. Step 3: Cross multiply
    57,981.92x = 86,825.22 × 38,200.51
  4. Step 4: Simplify right side
    57,981.92x = 3,316,767,467.80
  5. Step 5: Solve for x
    x = 3,316,767,467.80/57,981.92
  6. Step 6: Final answer
    x = 57,203.48

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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.