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Finding the Fourth Proportional to 35,417.68, 48,876.01 and 20,107.15

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Solution

The fourth proportional to 35,417.68, 48,876.01 and 20,107.15 is: 27,747.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,417.68 : 48,876.01 = 20,107.15 : x
  2. Step 2: Convert to fraction form
    35,417.68/48,876.01 = 20,107.15/x
  3. Step 3: Cross multiply
    35,417.68x = 48,876.01 × 20,107.15
  4. Step 4: Simplify right side
    35,417.68x = 982,757,092.01
  5. Step 5: Solve for x
    x = 982,757,092.01/35,417.68
  6. Step 6: Final answer
    x = 27,747.64

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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.