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Finding the Fourth Proportional to 57,288.87, 85,938.57 and 24,019.02

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Solution

The fourth proportional to 57,288.87, 85,938.57 and 24,019.02 is: 36,030.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,288.87 : 85,938.57 = 24,019.02 : x
  2. Step 2: Convert to fraction form
    57,288.87/85,938.57 = 24,019.02/x
  3. Step 3: Cross multiply
    57,288.87x = 85,938.57 × 24,019.02
  4. Step 4: Simplify right side
    57,288.87x = 2,064,160,231.60
  5. Step 5: Solve for x
    x = 2,064,160,231.60/57,288.87
  6. Step 6: Final answer
    x = 36,030.74

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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.