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Finding the Fourth Proportional to 109,754.84, 164,632.62 and 26,648.84

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Solution

The fourth proportional to 109,754.84, 164,632.62 and 26,648.84 is: 39,973.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,754.84 : 164,632.62 = 26,648.84 : x
  2. Step 2: Convert to fraction form
    109,754.84/164,632.62 = 26,648.84/x
  3. Step 3: Cross multiply
    109,754.84x = 164,632.62 × 26,648.84
  4. Step 4: Simplify right side
    109,754.84x = 4,387,268,349.16
  5. Step 5: Solve for x
    x = 4,387,268,349.16/109,754.84
  6. Step 6: Final answer
    x = 39,973.35

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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.