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Finding the Fourth Proportional to 109,704, 164,556.54 and 26,598

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Solution

The fourth proportional to 109,704, 164,556.54 and 26,598 is: 39,897.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,704 : 164,556.54 = 26,598 : x
  2. Step 2: Convert to fraction form
    109,704/164,556.54 = 26,598/x
  3. Step 3: Cross multiply
    109,704x = 164,556.54 × 26,598
  4. Step 4: Simplify right side
    109,704x = 4,376,874,850.92
  5. Step 5: Solve for x
    x = 4,376,874,850.92/109,704
  6. Step 6: Final answer
    x = 39,897.13

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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.