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Finding the Fourth Proportional to 38,142.92, 52,636.54 and 21,147.12

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Solution

The fourth proportional to 38,142.92, 52,636.54 and 21,147.12 is: 29,182.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,142.92 : 52,636.54 = 21,147.12 : x
  2. Step 2: Convert to fraction form
    38,142.92/52,636.54 = 21,147.12/x
  3. Step 3: Cross multiply
    38,142.92x = 52,636.54 × 21,147.12
  4. Step 4: Simplify right side
    38,142.92x = 1,113,111,227.76
  5. Step 5: Solve for x
    x = 1,113,111,227.76/38,142.92
  6. Step 6: Final answer
    x = 29,182.64

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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.