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Finding the Fourth Proportional to 38,998.24, 53,813.98 and 23,884

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Solution

The fourth proportional to 38,998.24, 53,813.98 and 23,884 is: 32,957.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,998.24 : 53,813.98 = 23,884 : x
  2. Step 2: Convert to fraction form
    38,998.24/53,813.98 = 23,884/x
  3. Step 3: Cross multiply
    38,998.24x = 53,813.98 × 23,884
  4. Step 4: Simplify right side
    38,998.24x = 1,285,293,098.32
  5. Step 5: Solve for x
    x = 1,285,293,098.32/38,998.24
  6. Step 6: Final answer
    x = 32,957.72

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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.