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Finding the Fourth Proportional to 109,881.16, 164,821.64 and 39,744.07

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Solution

The fourth proportional to 109,881.16, 164,821.64 and 39,744.07 is: 59,616.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,881.16 : 164,821.64 = 39,744.07 : x
  2. Step 2: Convert to fraction form
    109,881.16/164,821.64 = 39,744.07/x
  3. Step 3: Cross multiply
    109,881.16x = 164,821.64 × 39,744.07
  4. Step 4: Simplify right side
    109,881.16x = 6,550,682,186.90
  5. Step 5: Solve for x
    x = 6,550,682,186.90/109,881.16
  6. Step 6: Final answer
    x = 59,616.06

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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.