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Finding the Fourth Proportional to 109,881.90, 164,822.85 and 39,744.81

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Solution

The fourth proportional to 109,881.90, 164,822.85 and 39,744.81 is: 59,617.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,881.90 : 164,822.85 = 39,744.81 : x
  2. Step 2: Convert to fraction form
    109,881.90/164,822.85 = 39,744.81/x
  3. Step 3: Cross multiply
    109,881.90x = 164,822.85 × 39,744.81
  4. Step 4: Simplify right side
    109,881.90x = 6,550,852,856.91
  5. Step 5: Solve for x
    x = 6,550,852,856.91/109,881.90
  6. Step 6: Final answer
    x = 59,617.22

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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.