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Finding the Fourth Proportional to 57,688.64, 86,537.82 and 18,244.88

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Solution

The fourth proportional to 57,688.64, 86,537.82 and 18,244.88 is: 27,368.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,688.64 : 86,537.82 = 18,244.88 : x
  2. Step 2: Convert to fraction form
    57,688.64/86,537.82 = 18,244.88/x
  3. Step 3: Cross multiply
    57,688.64x = 86,537.82 × 18,244.88
  4. Step 4: Simplify right side
    57,688.64x = 1,578,872,141.36
  5. Step 5: Solve for x
    x = 1,578,872,141.36/57,688.64
  6. Step 6: Final answer
    x = 27,368.86

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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.