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Finding the Fourth Proportional to 109,525.48, 164,288.40 and 26,419.48

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Solution

The fourth proportional to 109,525.48, 164,288.40 and 26,419.48 is: 39,629.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,525.48 : 164,288.40 = 26,419.48 : x
  2. Step 2: Convert to fraction form
    109,525.48/164,288.40 = 26,419.48/x
  3. Step 3: Cross multiply
    109,525.48x = 164,288.40 × 26,419.48
  4. Step 4: Simplify right side
    109,525.48x = 4,340,414,098.03
  5. Step 5: Solve for x
    x = 4,340,414,098.03/109,525.48
  6. Step 6: Final answer
    x = 39,629.26

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1.5x scale

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.