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Finding the Fourth Proportional to 38,508.16, 53,142.72 and 21,511.52

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Solution

The fourth proportional to 38,508.16, 53,142.72 and 21,511.52 is: 29,686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,508.16 : 53,142.72 = 21,511.52 : x
  2. Step 2: Convert to fraction form
    38,508.16/53,142.72 = 21,511.52/x
  3. Step 3: Cross multiply
    38,508.16x = 53,142.72 × 21,511.52
  4. Step 4: Simplify right side
    38,508.16x = 1,143,180,684.13
  5. Step 5: Solve for x
    x = 1,143,180,684.13/38,508.16
  6. Step 6: Final answer
    x = 29,686.71

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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.