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Finding the Fourth Proportional to 38,826.40, 53,581.05 and 21,834.22

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Solution

The fourth proportional to 38,826.40, 53,581.05 and 21,834.22 is: 30,131.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,826.40 : 53,581.05 = 21,834.22 : x
  2. Step 2: Convert to fraction form
    38,826.40/53,581.05 = 21,834.22/x
  3. Step 3: Cross multiply
    38,826.40x = 53,581.05 × 21,834.22
  4. Step 4: Simplify right side
    38,826.40x = 1,169,900,433.53
  5. Step 5: Solve for x
    x = 1,169,900,433.53/38,826.40
  6. Step 6: Final answer
    x = 30,131.57

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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.