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Finding the Fourth Proportional to 117,797.24, 162,557.28 and 67,493

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Solution

The fourth proportional to 117,797.24, 162,557.28 and 67,493 is: 93,138.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,797.24 : 162,557.28 = 67,493 : x
  2. Step 2: Convert to fraction form
    117,797.24/162,557.28 = 67,493/x
  3. Step 3: Cross multiply
    117,797.24x = 162,557.28 × 67,493
  4. Step 4: Simplify right side
    117,797.24x = 10,971,478,499.04
  5. Step 5: Solve for x
    x = 10,971,478,499.04/117,797.24
  6. Step 6: Final answer
    x = 93,138.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.