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Finding the Fourth Proportional to 109,396.52, 164,094.74 and 26,290.52

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Solution

The fourth proportional to 109,396.52, 164,094.74 and 26,290.52 is: 39,435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,396.52 : 164,094.74 = 26,290.52 : x
  2. Step 2: Convert to fraction form
    109,396.52/164,094.74 = 26,290.52/x
  3. Step 3: Cross multiply
    109,396.52x = 164,094.74 × 26,290.52
  4. Step 4: Simplify right side
    109,396.52x = 4,314,136,043.86
  5. Step 5: Solve for x
    x = 4,314,136,043.86/109,396.52
  6. Step 6: Final answer
    x = 39,435.77

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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.