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Finding the Fourth Proportional to 29,938.65, 41,315.63 and 16,510.38

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Solution

The fourth proportional to 29,938.65, 41,315.63 and 16,510.38 is: 22,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,938.65 : 41,315.63 = 16,510.38 : x
  2. Step 2: Convert to fraction form
    29,938.65/41,315.63 = 16,510.38/x
  3. Step 3: Cross multiply
    29,938.65x = 41,315.63 × 16,510.38
  4. Step 4: Simplify right side
    29,938.65x = 682,136,751.24
  5. Step 5: Solve for x
    x = 682,136,751.24/29,938.65
  6. Step 6: Final answer
    x = 22,784.49

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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.