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Finding the Fourth Proportional to 57,398.78, 86,098.19 and 17,956.05

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Solution

The fourth proportional to 57,398.78, 86,098.19 and 17,956.05 is: 26,934.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,398.78 : 86,098.19 = 17,956.05 : x
  2. Step 2: Convert to fraction form
    57,398.78/86,098.19 = 17,956.05/x
  3. Step 3: Cross multiply
    57,398.78x = 86,098.19 × 17,956.05
  4. Step 4: Simplify right side
    57,398.78x = 1,545,983,314.77
  5. Step 5: Solve for x
    x = 1,545,983,314.77/57,398.78
  6. Step 6: Final answer
    x = 26,934.08

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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.