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Finding the Fourth Proportional to 109,866.07, 164,744.58 and 34,976.45

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Solution

The fourth proportional to 109,866.07, 164,744.58 and 34,976.45 is: 52,447.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,866.07 : 164,744.58 = 34,976.45 : x
  2. Step 2: Convert to fraction form
    109,866.07/164,744.58 = 34,976.45/x
  3. Step 3: Cross multiply
    109,866.07x = 164,744.58 × 34,976.45
  4. Step 4: Simplify right side
    109,866.07x = 5,762,180,390.26
  5. Step 5: Solve for x
    x = 5,762,180,390.26/109,866.07
  6. Step 6: Final answer
    x = 52,447.32

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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.