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Finding the Fourth Proportional to 34,974.72, 48,256.56 and 22,416.48

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Solution

The fourth proportional to 34,974.72, 48,256.56 and 22,416.48 is: 30,929.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,974.72 : 48,256.56 = 22,416.48 : x
  2. Step 2: Convert to fraction form
    34,974.72/48,256.56 = 22,416.48/x
  3. Step 3: Cross multiply
    34,974.72x = 48,256.56 × 22,416.48
  4. Step 4: Simplify right side
    34,974.72x = 1,081,742,212.11
  5. Step 5: Solve for x
    x = 1,081,742,212.11/34,974.72
  6. Step 6: Final answer
    x = 30,929.26

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