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Finding the Fourth Proportional to 57,892.10, 86,838.15 and 57,277.70

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Solution

The fourth proportional to 57,892.10, 86,838.15 and 57,277.70 is: 85,916.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,892.10 : 86,838.15 = 57,277.70 : x
  2. Step 2: Convert to fraction form
    57,892.10/86,838.15 = 57,277.70/x
  3. Step 3: Cross multiply
    57,892.10x = 86,838.15 × 57,277.70
  4. Step 4: Simplify right side
    57,892.10x = 4,973,889,504.26
  5. Step 5: Solve for x
    x = 4,973,889,504.26/57,892.10
  6. Step 6: Final answer
    x = 85,916.55

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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.