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Finding the Fourth Proportional to 109,632.17, 164,448.25 and 26,526.17

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Solution

The fourth proportional to 109,632.17, 164,448.25 and 26,526.17 is: 39,789.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,632.17 : 164,448.25 = 26,526.17 : x
  2. Step 2: Convert to fraction form
    109,632.17/164,448.25 = 26,526.17/x
  3. Step 3: Cross multiply
    109,632.17x = 164,448.25 × 26,526.17
  4. Step 4: Simplify right side
    109,632.17x = 4,362,181,446.62
  5. Step 5: Solve for x
    x = 4,362,181,446.62/109,632.17
  6. Step 6: Final answer
    x = 39,789.25

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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.