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Finding the Fourth Proportional to 100,348, 150,532.08 and 26,476

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Solution

The fourth proportional to 100,348, 150,532.08 and 26,476 is: 39,716.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,348 : 150,532.08 = 26,476 : x
  2. Step 2: Convert to fraction form
    100,348/150,532.08 = 26,476/x
  3. Step 3: Cross multiply
    100,348x = 150,532.08 × 26,476
  4. Step 4: Simplify right side
    100,348x = 3,985,487,350.08
  5. Step 5: Solve for x
    x = 3,985,487,350.08/100,348
  6. Step 6: Final answer
    x = 39,716.66

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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.