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Finding the Fourth Proportional to 57,110.86, 85,602.57 and 23,819.86

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Solution

The fourth proportional to 57,110.86, 85,602.57 and 23,819.86 is: 35,703.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,110.86 : 85,602.57 = 23,819.86 : x
  2. Step 2: Convert to fraction form
    57,110.86/85,602.57 = 23,819.86/x
  3. Step 3: Cross multiply
    57,110.86x = 85,602.57 × 23,819.86
  4. Step 4: Simplify right side
    57,110.86x = 2,039,041,233.04
  5. Step 5: Solve for x
    x = 2,039,041,233.04/57,110.86
  6. Step 6: Final answer
    x = 35,703.21

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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.