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Finding the Fourth Proportional to 109,621.84, 164,461.92 and 34,744

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Solution

The fourth proportional to 109,621.84, 164,461.92 and 34,744 is: 52,125.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,621.84 : 164,461.92 = 34,744 : x
  2. Step 2: Convert to fraction form
    109,621.84/164,461.92 = 34,744/x
  3. Step 3: Cross multiply
    109,621.84x = 164,461.92 × 34,744
  4. Step 4: Simplify right side
    109,621.84x = 5,714,064,948.48
  5. Step 5: Solve for x
    x = 5,714,064,948.48/109,621.84
  6. Step 6: Final answer
    x = 52,125.24

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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.