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Finding the Fourth Proportional to 49,539.78, 74,264.22 and 21,442.14

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Solution

The fourth proportional to 49,539.78, 74,264.22 and 21,442.14 is: 32,143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,539.78 : 74,264.22 = 21,442.14 : x
  2. Step 2: Convert to fraction form
    49,539.78/74,264.22 = 21,442.14/x
  3. Step 3: Cross multiply
    49,539.78x = 74,264.22 × 21,442.14
  4. Step 4: Simplify right side
    49,539.78x = 1,592,383,802.23
  5. Step 5: Solve for x
    x = 1,592,383,802.23/49,539.78
  6. Step 6: Final answer
    x = 32,143.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.