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Finding the Fourth Proportional to 57,712.64, 86,607.84 and 22,648.16

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Solution

The fourth proportional to 57,712.64, 86,607.84 and 22,648.16 is: 33,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,712.64 : 86,607.84 = 22,648.16 : x
  2. Step 2: Convert to fraction form
    57,712.64/86,607.84 = 22,648.16/x
  3. Step 3: Cross multiply
    57,712.64x = 86,607.84 × 22,648.16
  4. Step 4: Simplify right side
    57,712.64x = 1,961,508,217.57
  5. Step 5: Solve for x
    x = 1,961,508,217.57/57,712.64
  6. Step 6: Final answer
    x = 33,987.50

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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.