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Finding the Fourth Proportional to 31,099.16, 42,917.28 and 16,952.24

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Solution

The fourth proportional to 31,099.16, 42,917.28 and 16,952.24 is: 23,394.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,099.16 : 42,917.28 = 16,952.24 : x
  2. Step 2: Convert to fraction form
    31,099.16/42,917.28 = 16,952.24/x
  3. Step 3: Cross multiply
    31,099.16x = 42,917.28 × 16,952.24
  4. Step 4: Simplify right side
    31,099.16x = 727,544,030.71
  5. Step 5: Solve for x
    x = 727,544,030.71/31,099.16
  6. Step 6: Final answer
    x = 23,394.33

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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.