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Finding the Fourth Proportional to 49,189.87, 73,798.98 and 24,237.42

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Solution

The fourth proportional to 49,189.87, 73,798.98 and 24,237.42 is: 36,363.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,189.87 : 73,798.98 = 24,237.42 : x
  2. Step 2: Convert to fraction form
    49,189.87/73,798.98 = 24,237.42/x
  3. Step 3: Cross multiply
    49,189.87x = 73,798.98 × 24,237.42
  4. Step 4: Simplify right side
    49,189.87x = 1,788,696,873.83
  5. Step 5: Solve for x
    x = 1,788,696,873.83/49,189.87
  6. Step 6: Final answer
    x = 36,363.11

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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.