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Finding the Fourth Proportional to 57,116, 78,820.08 and 31,965.68

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Solution

The fourth proportional to 57,116, 78,820.08 and 31,965.68 is: 44,112.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,116 : 78,820.08 = 31,965.68 : x
  2. Step 2: Convert to fraction form
    57,116/78,820.08 = 31,965.68/x
  3. Step 3: Cross multiply
    57,116x = 78,820.08 × 31,965.68
  4. Step 4: Simplify right side
    57,116x = 2,519,537,454.85
  5. Step 5: Solve for x
    x = 2,519,537,454.85/57,116
  6. Step 6: Final answer
    x = 44,112.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.