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Finding the Fourth Proportional to 57,534.84, 86,239.35 and 27,886.41

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Solution

The fourth proportional to 57,534.84, 86,239.35 and 27,886.41 is: 41,799.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,534.84 : 86,239.35 = 27,886.41 : x
  2. Step 2: Convert to fraction form
    57,534.84/86,239.35 = 27,886.41/x
  3. Step 3: Cross multiply
    57,534.84x = 86,239.35 × 27,886.41
  4. Step 4: Simplify right side
    57,534.84x = 2,404,905,872.23
  5. Step 5: Solve for x
    x = 2,404,905,872.23/57,534.84
  6. Step 6: Final answer
    x = 41,799.12

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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.