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Finding the Fourth Proportional to 33,948, 46,849.68 and 19,044

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Solution

The fourth proportional to 33,948, 46,849.68 and 19,044 is: 26,281.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,948 : 46,849.68 = 19,044 : x
  2. Step 2: Convert to fraction form
    33,948/46,849.68 = 19,044/x
  3. Step 3: Cross multiply
    33,948x = 46,849.68 × 19,044
  4. Step 4: Simplify right side
    33,948x = 892,205,305.92
  5. Step 5: Solve for x
    x = 892,205,305.92/33,948
  6. Step 6: Final answer
    x = 26,281.53

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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.