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Finding the Fourth Proportional to 57,832.59, 86,749.50 and 20,385.68

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Solution

The fourth proportional to 57,832.59, 86,749.50 and 20,385.68 is: 30,578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,832.59 : 86,749.50 = 20,385.68 : x
  2. Step 2: Convert to fraction form
    57,832.59/86,749.50 = 20,385.68/x
  3. Step 3: Cross multiply
    57,832.59x = 86,749.50 × 20,385.68
  4. Step 4: Simplify right side
    57,832.59x = 1,768,447,547.16
  5. Step 5: Solve for x
    x = 1,768,447,547.16/57,832.59
  6. Step 6: Final answer
    x = 30,578.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.