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Finding the Fourth Proportional to 30,553.68, 42,107.01 and 23,828.70

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Solution

The fourth proportional to 30,553.68, 42,107.01 and 23,828.70 is: 32,839.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,553.68 : 42,107.01 = 23,828.70 : x
  2. Step 2: Convert to fraction form
    30,553.68/42,107.01 = 23,828.70/x
  3. Step 3: Cross multiply
    30,553.68x = 42,107.01 × 23,828.70
  4. Step 4: Simplify right side
    30,553.68x = 1,003,355,309.19
  5. Step 5: Solve for x
    x = 1,003,355,309.19/30,553.68
  6. Step 6: Final answer
    x = 32,839.10

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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.