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Finding the Fourth Proportional to 127,086, 190,625.91 and 31,023.90

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Solution

The fourth proportional to 127,086, 190,625.91 and 31,023.90 is: 46,535.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,086 : 190,625.91 = 31,023.90 : x
  2. Step 2: Convert to fraction form
    127,086/190,625.91 = 31,023.90/x
  3. Step 3: Cross multiply
    127,086x = 190,625.91 × 31,023.90
  4. Step 4: Simplify right side
    127,086x = 5,913,959,169.25
  5. Step 5: Solve for x
    x = 5,913,959,169.25/127,086
  6. Step 6: Final answer
    x = 46,535.10

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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.