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Finding the Fourth Proportional to 109,754.72, 164,632.08 and 26,648.16

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Solution

The fourth proportional to 109,754.72, 164,632.08 and 26,648.16 is: 39,972.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,754.72 : 164,632.08 = 26,648.16 : x
  2. Step 2: Convert to fraction form
    109,754.72/164,632.08 = 26,648.16/x
  3. Step 3: Cross multiply
    109,754.72x = 164,632.08 × 26,648.16
  4. Step 4: Simplify right side
    109,754.72x = 4,387,142,008.97
  5. Step 5: Solve for x
    x = 4,387,142,008.97/109,754.72
  6. Step 6: Final answer
    x = 39,972.24

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Why These Related Problems?

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