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Finding the Fourth Proportional to 49,749.62, 74,655.02 and 19,758.61

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Solution

The fourth proportional to 49,749.62, 74,655.02 and 19,758.61 is: 29,650.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,749.62 : 74,655.02 = 19,758.61 : x
  2. Step 2: Convert to fraction form
    49,749.62/74,655.02 = 19,758.61/x
  3. Step 3: Cross multiply
    49,749.62x = 74,655.02 × 19,758.61
  4. Step 4: Simplify right side
    49,749.62x = 1,475,079,025.74
  5. Step 5: Solve for x
    x = 1,475,079,025.74/49,749.62
  6. Step 6: Final answer
    x = 29,650.06

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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.