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Finding the Fourth Proportional to 31,866.48, 43,977.28 and 17,719

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Solution

The fourth proportional to 31,866.48, 43,977.28 and 17,719 is: 24,453.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,866.48 : 43,977.28 = 17,719 : x
  2. Step 2: Convert to fraction form
    31,866.48/43,977.28 = 17,719/x
  3. Step 3: Cross multiply
    31,866.48x = 43,977.28 × 17,719
  4. Step 4: Simplify right side
    31,866.48x = 779,233,424.32
  5. Step 5: Solve for x
    x = 779,233,424.32/31,866.48
  6. Step 6: Final answer
    x = 24,453.07

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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.