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Finding the Fourth Proportional to 39,419.92, 54,389.10 and 22,424.32

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Solution

The fourth proportional to 39,419.92, 54,389.10 and 22,424.32 is: 30,939.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,419.92 : 54,389.10 = 22,424.32 : x
  2. Step 2: Convert to fraction form
    39,419.92/54,389.10 = 22,424.32/x
  3. Step 3: Cross multiply
    39,419.92x = 54,389.10 × 22,424.32
  4. Step 4: Simplify right side
    39,419.92x = 1,219,638,582.91
  5. Step 5: Solve for x
    x = 1,219,638,582.91/39,419.92
  6. Step 6: Final answer
    x = 30,939.65

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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.