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Finding the Fourth Proportional to 100,225.76, 150,338.64 and 26,348

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Solution

The fourth proportional to 100,225.76, 150,338.64 and 26,348 is: 39,522.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,225.76 : 150,338.64 = 26,348 : x
  2. Step 2: Convert to fraction form
    100,225.76/150,338.64 = 26,348/x
  3. Step 3: Cross multiply
    100,225.76x = 150,338.64 × 26,348
  4. Step 4: Simplify right side
    100,225.76x = 3,961,122,486.72
  5. Step 5: Solve for x
    x = 3,961,122,486.72/100,225.76
  6. Step 6: Final answer
    x = 39,522.00

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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.