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Finding the Fourth Proportional to 106,394.52, 159,597.26 and 27,509.43

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Solution

The fourth proportional to 106,394.52, 159,597.26 and 27,509.43 is: 41,265.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,394.52 : 159,597.26 = 27,509.43 : x
  2. Step 2: Convert to fraction form
    106,394.52/159,597.26 = 27,509.43/x
  3. Step 3: Cross multiply
    106,394.52x = 159,597.26 × 27,509.43
  4. Step 4: Simplify right side
    106,394.52x = 4,390,429,514.61
  5. Step 5: Solve for x
    x = 4,390,429,514.61/106,394.52
  6. Step 6: Final answer
    x = 41,265.56

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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.