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Finding the Fourth Proportional to 35,722.98, 49,298.31 and 19,808.10

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Solution

The fourth proportional to 35,722.98, 49,298.31 and 19,808.10 is: 27,335.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,722.98 : 49,298.31 = 19,808.10 : x
  2. Step 2: Convert to fraction form
    35,722.98/49,298.31 = 19,808.10/x
  3. Step 3: Cross multiply
    35,722.98x = 49,298.31 × 19,808.10
  4. Step 4: Simplify right side
    35,722.98x = 976,505,854.31
  5. Step 5: Solve for x
    x = 976,505,854.31/35,722.98
  6. Step 6: Final answer
    x = 27,335.51

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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.