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Finding the Fourth Proportional to 52,206.50, 72,045.06 and 29,850.50

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Solution

The fourth proportional to 52,206.50, 72,045.06 and 29,850.50 is: 41,193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,206.50 : 72,045.06 = 29,850.50 : x
  2. Step 2: Convert to fraction form
    52,206.50/72,045.06 = 29,850.50/x
  3. Step 3: Cross multiply
    52,206.50x = 72,045.06 × 29,850.50
  4. Step 4: Simplify right side
    52,206.50x = 2,150,581,063.53
  5. Step 5: Solve for x
    x = 2,150,581,063.53/52,206.50
  6. Step 6: Final answer
    x = 41,193.74

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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.