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Finding the Fourth Proportional to 35,898.32, 49,538.52 and 19,982.24

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Solution

The fourth proportional to 35,898.32, 49,538.52 and 19,982.24 is: 27,574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,898.32 : 49,538.52 = 19,982.24 : x
  2. Step 2: Convert to fraction form
    35,898.32/49,538.52 = 19,982.24/x
  3. Step 3: Cross multiply
    35,898.32x = 49,538.52 × 19,982.24
  4. Step 4: Simplify right side
    35,898.32x = 989,890,595.88
  5. Step 5: Solve for x
    x = 989,890,595.88/35,898.32
  6. Step 6: Final answer
    x = 27,574.84

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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.