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Finding the Fourth Proportional to 75,164.85, 112,748.22 and 22,571.28

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Solution

The fourth proportional to 75,164.85, 112,748.22 and 22,571.28 is: 33,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,164.85 : 112,748.22 = 22,571.28 : x
  2. Step 2: Convert to fraction form
    75,164.85/112,748.22 = 22,571.28/x
  3. Step 3: Cross multiply
    75,164.85x = 112,748.22 × 22,571.28
  4. Step 4: Simplify right side
    75,164.85x = 2,544,871,643.12
  5. Step 5: Solve for x
    x = 2,544,871,643.12/75,164.85
  6. Step 6: Final answer
    x = 33,857.20

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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.