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Finding the Fourth Proportional to 110,522, 165,870.36 and 48,236.24

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Solution

The fourth proportional to 110,522, 165,870.36 and 48,236.24 is: 72,392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,522 : 165,870.36 = 48,236.24 : x
  2. Step 2: Convert to fraction form
    110,522/165,870.36 = 48,236.24/x
  3. Step 3: Cross multiply
    110,522x = 165,870.36 × 48,236.24
  4. Step 4: Simplify right side
    110,522x = 8,000,962,493.85
  5. Step 5: Solve for x
    x = 8,000,962,493.85/110,522
  6. Step 6: Final answer
    x = 72,392.49

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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.