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Finding the Fourth Proportional to 85,190.40, 127,741.20 and 31,838.52

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Solution

The fourth proportional to 85,190.40, 127,741.20 and 31,838.52 is: 47,741.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,190.40 : 127,741.20 = 31,838.52 : x
  2. Step 2: Convert to fraction form
    85,190.40/127,741.20 = 31,838.52/x
  3. Step 3: Cross multiply
    85,190.40x = 127,741.20 × 31,838.52
  4. Step 4: Simplify right side
    85,190.40x = 4,067,090,751.02
  5. Step 5: Solve for x
    x = 4,067,090,751.02/85,190.40
  6. Step 6: Final answer
    x = 47,741.19

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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.