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Finding the Fourth Proportional to 29,938.74, 41,312.31 and 16,509.21

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Solution

The fourth proportional to 29,938.74, 41,312.31 and 16,509.21 is: 22,780.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,938.74 : 41,312.31 = 16,509.21 : x
  2. Step 2: Convert to fraction form
    29,938.74/41,312.31 = 16,509.21/x
  3. Step 3: Cross multiply
    29,938.74x = 41,312.31 × 16,509.21
  4. Step 4: Simplify right side
    29,938.74x = 682,033,601.38
  5. Step 5: Solve for x
    x = 682,033,601.38/29,938.74
  6. Step 6: Final answer
    x = 22,780.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.