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Finding the Fourth Proportional to 46,502.87, 69,752.46 and 19,837.85

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Solution

The fourth proportional to 46,502.87, 69,752.46 and 19,837.85 is: 29,755.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,502.87 : 69,752.46 = 19,837.85 : x
  2. Step 2: Convert to fraction form
    46,502.87/69,752.46 = 19,837.85/x
  3. Step 3: Cross multiply
    46,502.87x = 69,752.46 × 19,837.85
  4. Step 4: Simplify right side
    46,502.87x = 1,383,738,838.61
  5. Step 5: Solve for x
    x = 1,383,738,838.61/46,502.87
  6. Step 6: Final answer
    x = 29,755.99

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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.