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Finding the Fourth Proportional to 109,516.08, 164,273.76 and 26,410.08

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Solution

The fourth proportional to 109,516.08, 164,273.76 and 26,410.08 is: 39,615.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,516.08 : 164,273.76 = 26,410.08 : x
  2. Step 2: Convert to fraction form
    109,516.08/164,273.76 = 26,410.08/x
  3. Step 3: Cross multiply
    109,516.08x = 164,273.76 × 26,410.08
  4. Step 4: Simplify right side
    109,516.08x = 4,338,483,143.50
  5. Step 5: Solve for x
    x = 4,338,483,143.50/109,516.08
  6. Step 6: Final answer
    x = 39,615.03

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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.