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Finding the Fourth Proportional to 29,810.50, 41,147.13 and 19,874.50

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Solution

The fourth proportional to 29,810.50, 41,147.13 and 19,874.50 is: 27,432.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,810.50 : 41,147.13 = 19,874.50 : x
  2. Step 2: Convert to fraction form
    29,810.50/41,147.13 = 19,874.50/x
  3. Step 3: Cross multiply
    29,810.50x = 41,147.13 × 19,874.50
  4. Step 4: Simplify right side
    29,810.50x = 817,778,635.19
  5. Step 5: Solve for x
    x = 817,778,635.19/29,810.50
  6. Step 6: Final answer
    x = 27,432.57

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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.