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Finding the Fourth Proportional to 109,515, 164,272.50 and 26,409

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Solution

The fourth proportional to 109,515, 164,272.50 and 26,409 is: 39,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,515 : 164,272.50 = 26,409 : x
  2. Step 2: Convert to fraction form
    109,515/164,272.50 = 26,409/x
  3. Step 3: Cross multiply
    109,515x = 164,272.50 × 26,409
  4. Step 4: Simplify right side
    109,515x = 4,338,272,452.50
  5. Step 5: Solve for x
    x = 4,338,272,452.50/109,515
  6. Step 6: Final answer
    x = 39,613.50

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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.