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Finding the Fourth Proportional to 35,646.10, 49,203.92 and 20,544.78

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Solution

The fourth proportional to 35,646.10, 49,203.92 and 20,544.78 is: 28,358.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,646.10 : 49,203.92 = 20,544.78 : x
  2. Step 2: Convert to fraction form
    35,646.10/49,203.92 = 20,544.78/x
  3. Step 3: Cross multiply
    35,646.10x = 49,203.92 × 20,544.78
  4. Step 4: Simplify right side
    35,646.10x = 1,010,883,711.54
  5. Step 5: Solve for x
    x = 1,010,883,711.54/35,646.10
  6. Step 6: Final answer
    x = 28,358.89

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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.