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Finding the Fourth Proportional to 27,948.84, 38,537.84 and 20,381.80

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Solution

The fourth proportional to 27,948.84, 38,537.84 and 20,381.80 is: 28,103.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,948.84 : 38,537.84 = 20,381.80 : x
  2. Step 2: Convert to fraction form
    27,948.84/38,537.84 = 20,381.80/x
  3. Step 3: Cross multiply
    27,948.84x = 38,537.84 × 20,381.80
  4. Step 4: Simplify right side
    27,948.84x = 785,470,547.31
  5. Step 5: Solve for x
    x = 785,470,547.31/27,948.84
  6. Step 6: Final answer
    x = 28,103.87

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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.