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Finding the Fourth Proportional to 49,111.50, 73,669.07 and 15,832.04

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Solution

The fourth proportional to 49,111.50, 73,669.07 and 15,832.04 is: 23,748.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,111.50 : 73,669.07 = 15,832.04 : x
  2. Step 2: Convert to fraction form
    49,111.50/73,669.07 = 15,832.04/x
  3. Step 3: Cross multiply
    49,111.50x = 73,669.07 × 15,832.04
  4. Step 4: Simplify right side
    49,111.50x = 1,166,331,663.00
  5. Step 5: Solve for x
    x = 1,166,331,663.00/49,111.50
  6. Step 6: Final answer
    x = 23,748.65

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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.