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Finding the Fourth Proportional to 38,440.94, 57,641.97 and 19,716.98

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Solution

The fourth proportional to 38,440.94, 57,641.97 and 19,716.98 is: 29,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,440.94 : 57,641.97 = 19,716.98 : x
  2. Step 2: Convert to fraction form
    38,440.94/57,641.97 = 19,716.98/x
  3. Step 3: Cross multiply
    38,440.94x = 57,641.97 × 19,716.98
  4. Step 4: Simplify right side
    38,440.94x = 1,136,525,569.65
  5. Step 5: Solve for x
    x = 1,136,525,569.65/38,440.94
  6. Step 6: Final answer
    x = 29,565.50

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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.