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Finding the Fourth Proportional to 30,113.96, 41,564.16 and 20,042.82

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Solution

The fourth proportional to 30,113.96, 41,564.16 and 20,042.82 is: 27,663.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,113.96 : 41,564.16 = 20,042.82 : x
  2. Step 2: Convert to fraction form
    30,113.96/41,564.16 = 20,042.82/x
  3. Step 3: Cross multiply
    30,113.96x = 41,564.16 × 20,042.82
  4. Step 4: Simplify right side
    30,113.96x = 833,062,977.33
  5. Step 5: Solve for x
    x = 833,062,977.33/30,113.96
  6. Step 6: Final answer
    x = 27,663.69

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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.