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Finding the Fourth Proportional to 49,646.08, 74,472.32 and 21,944

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Solution

The fourth proportional to 49,646.08, 74,472.32 and 21,944 is: 32,917.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,646.08 : 74,472.32 = 21,944 : x
  2. Step 2: Convert to fraction form
    49,646.08/74,472.32 = 21,944/x
  3. Step 3: Cross multiply
    49,646.08x = 74,472.32 × 21,944
  4. Step 4: Simplify right side
    49,646.08x = 1,634,220,590.08
  5. Step 5: Solve for x
    x = 1,634,220,590.08/49,646.08
  6. Step 6: Final answer
    x = 32,917.41

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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.