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Finding the Fourth Proportional to 57,465.54, 86,199.75 and 15,912.90

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Solution

The fourth proportional to 57,465.54, 86,199.75 and 15,912.90 is: 23,869.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,465.54 : 86,199.75 = 15,912.90 : x
  2. Step 2: Convert to fraction form
    57,465.54/86,199.75 = 15,912.90/x
  3. Step 3: Cross multiply
    57,465.54x = 86,199.75 × 15,912.90
  4. Step 4: Simplify right side
    57,465.54x = 1,371,688,001.78
  5. Step 5: Solve for x
    x = 1,371,688,001.78/57,465.54
  6. Step 6: Final answer
    x = 23,869.75

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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.