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Finding the Fourth Proportional to 30,359.25, 41,901.24 and 17,784

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Solution

The fourth proportional to 30,359.25, 41,901.24 and 17,784 is: 24,545.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,359.25 : 41,901.24 = 17,784 : x
  2. Step 2: Convert to fraction form
    30,359.25/41,901.24 = 17,784/x
  3. Step 3: Cross multiply
    30,359.25x = 41,901.24 × 17,784
  4. Step 4: Simplify right side
    30,359.25x = 745,171,563.24
  5. Step 5: Solve for x
    x = 745,171,563.24/30,359.25
  6. Step 6: Final answer
    x = 24,545.12

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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.