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Finding the Fourth Proportional to 31,119.80, 46,649.32 and 12,394.20

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Solution

The fourth proportional to 31,119.80, 46,649.32 and 12,394.20 is: 18,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,119.80 : 46,649.32 = 12,394.20 : x
  2. Step 2: Convert to fraction form
    31,119.80/46,649.32 = 12,394.20/x
  3. Step 3: Cross multiply
    31,119.80x = 46,649.32 × 12,394.20
  4. Step 4: Simplify right side
    31,119.80x = 578,181,001.94
  5. Step 5: Solve for x
    x = 578,181,001.94/31,119.80
  6. Step 6: Final answer
    x = 18,579.20

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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.