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Finding the Fourth Proportional to 57,894.70, 86,820.45 and 22,827.10

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Solution

The fourth proportional to 57,894.70, 86,820.45 and 22,827.10 is: 34,232.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,894.70 : 86,820.45 = 22,827.10 : x
  2. Step 2: Convert to fraction form
    57,894.70/86,820.45 = 22,827.10/x
  3. Step 3: Cross multiply
    57,894.70x = 86,820.45 × 22,827.10
  4. Step 4: Simplify right side
    57,894.70x = 1,981,859,094.20
  5. Step 5: Solve for x
    x = 1,981,859,094.20/57,894.70
  6. Step 6: Final answer
    x = 34,232.13

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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.