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Finding the Fourth Proportional to 27,442.74, 37,873.80 and 19,792.38

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Solution

The fourth proportional to 27,442.74, 37,873.80 and 19,792.38 is: 27,315.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,442.74 : 37,873.80 = 19,792.38 : x
  2. Step 2: Convert to fraction form
    27,442.74/37,873.80 = 19,792.38/x
  3. Step 3: Cross multiply
    27,442.74x = 37,873.80 × 19,792.38
  4. Step 4: Simplify right side
    27,442.74x = 749,612,641.64
  5. Step 5: Solve for x
    x = 749,612,641.64/27,442.74
  6. Step 6: Final answer
    x = 27,315.52

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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.