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Finding the Fourth Proportional to 52,225.44, 72,069.84 and 29,868

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Solution

The fourth proportional to 52,225.44, 72,069.84 and 29,868 is: 41,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,225.44 : 72,069.84 = 29,868 : x
  2. Step 2: Convert to fraction form
    52,225.44/72,069.84 = 29,868/x
  3. Step 3: Cross multiply
    52,225.44x = 72,069.84 × 29,868
  4. Step 4: Simplify right side
    52,225.44x = 2,152,581,981.12
  5. Step 5: Solve for x
    x = 2,152,581,981.12/52,225.44
  6. Step 6: Final answer
    x = 41,217.12

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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.