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Finding the Fourth Proportional to 31,018, 42,804.84 and 17,584.96

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Solution

The fourth proportional to 31,018, 42,804.84 and 17,584.96 is: 24,267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,018 : 42,804.84 = 17,584.96 : x
  2. Step 2: Convert to fraction form
    31,018/42,804.84 = 17,584.96/x
  3. Step 3: Cross multiply
    31,018x = 42,804.84 × 17,584.96
  4. Step 4: Simplify right side
    31,018x = 752,721,399.21
  5. Step 5: Solve for x
    x = 752,721,399.21/31,018
  6. Step 6: Final answer
    x = 24,267.24

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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.