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Finding the Fourth Proportional to 50,254, 75,415.56 and 17,422

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Solution

The fourth proportional to 50,254, 75,415.56 and 17,422 is: 26,144.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,254 : 75,415.56 = 17,422 : x
  2. Step 2: Convert to fraction form
    50,254/75,415.56 = 17,422/x
  3. Step 3: Cross multiply
    50,254x = 75,415.56 × 17,422
  4. Step 4: Simplify right side
    50,254x = 1,313,889,886.32
  5. Step 5: Solve for x
    x = 1,313,889,886.32/50,254
  6. Step 6: Final answer
    x = 26,144.98

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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.