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Finding the Fourth Proportional to 57,458.58, 86,114.85 and 25,834.86

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Solution

The fourth proportional to 57,458.58, 86,114.85 and 25,834.86 is: 38,719.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,458.58 : 86,114.85 = 25,834.86 : x
  2. Step 2: Convert to fraction form
    57,458.58/86,114.85 = 25,834.86/x
  3. Step 3: Cross multiply
    57,458.58x = 86,114.85 × 25,834.86
  4. Step 4: Simplify right side
    57,458.58x = 2,224,765,093.67
  5. Step 5: Solve for x
    x = 2,224,765,093.67/57,458.58
  6. Step 6: Final answer
    x = 38,719.46

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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.