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Finding the Fourth Proportional to 109,678.16, 164,517.24 and 26,572.16

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Solution

The fourth proportional to 109,678.16, 164,517.24 and 26,572.16 is: 39,858.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,678.16 : 164,517.24 = 26,572.16 : x
  2. Step 2: Convert to fraction form
    109,678.16/164,517.24 = 26,572.16/x
  3. Step 3: Cross multiply
    109,678.16x = 164,517.24 × 26,572.16
  4. Step 4: Simplify right side
    109,678.16x = 4,371,578,424.04
  5. Step 5: Solve for x
    x = 4,371,578,424.04/109,678.16
  6. Step 6: Final answer
    x = 39,858.24

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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.