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Finding the Fourth Proportional to 109,498.72, 164,246.64 and 26,392

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Solution

The fourth proportional to 109,498.72, 164,246.64 and 26,392 is: 39,587.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,498.72 : 164,246.64 = 26,392 : x
  2. Step 2: Convert to fraction form
    109,498.72/164,246.64 = 26,392/x
  3. Step 3: Cross multiply
    109,498.72x = 164,246.64 × 26,392
  4. Step 4: Simplify right side
    109,498.72x = 4,334,797,322.88
  5. Step 5: Solve for x
    x = 4,334,797,322.88/109,498.72
  6. Step 6: Final answer
    x = 39,587.65

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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.