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Finding the Fourth Proportional to 109,482.52, 164,223.78 and 26,376.52

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Solution

The fourth proportional to 109,482.52, 164,223.78 and 26,376.52 is: 39,564.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,482.52 : 164,223.78 = 26,376.52 : x
  2. Step 2: Convert to fraction form
    109,482.52/164,223.78 = 26,376.52/x
  3. Step 3: Cross multiply
    109,482.52x = 164,223.78 × 26,376.52
  4. Step 4: Simplify right side
    109,482.52x = 4,331,651,817.65
  5. Step 5: Solve for x
    x = 4,331,651,817.65/109,482.52
  6. Step 6: Final answer
    x = 39,564.78

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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.