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Finding the Fourth Proportional to 89,825.76, 134,738.64 and 27,488.16

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Solution

The fourth proportional to 89,825.76, 134,738.64 and 27,488.16 is: 41,232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,825.76 : 134,738.64 = 27,488.16 : x
  2. Step 2: Convert to fraction form
    89,825.76/134,738.64 = 27,488.16/x
  3. Step 3: Cross multiply
    89,825.76x = 134,738.64 × 27,488.16
  4. Step 4: Simplify right side
    89,825.76x = 3,703,717,294.50
  5. Step 5: Solve for x
    x = 3,703,717,294.50/89,825.76
  6. Step 6: Final answer
    x = 41,232.24

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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.