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Finding the Fourth Proportional to 89,716.40, 134,569.72 and 27,382

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Solution

The fourth proportional to 89,716.40, 134,569.72 and 27,382 is: 41,071.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,716.40 : 134,569.72 = 27,382 : x
  2. Step 2: Convert to fraction form
    89,716.40/134,569.72 = 27,382/x
  3. Step 3: Cross multiply
    89,716.40x = 134,569.72 × 27,382
  4. Step 4: Simplify right side
    89,716.40x = 3,684,788,073.04
  5. Step 5: Solve for x
    x = 3,684,788,073.04/89,716.40
  6. Step 6: Final answer
    x = 41,071.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.