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Finding the Fourth Proportional to 35,813.70, 49,422.51 and 19,898.10

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Solution

The fourth proportional to 35,813.70, 49,422.51 and 19,898.10 is: 27,459.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,813.70 : 49,422.51 = 19,898.10 : x
  2. Step 2: Convert to fraction form
    35,813.70/49,422.51 = 19,898.10/x
  3. Step 3: Cross multiply
    35,813.70x = 49,422.51 × 19,898.10
  4. Step 4: Simplify right side
    35,813.70x = 983,414,046.23
  5. Step 5: Solve for x
    x = 983,414,046.23/35,813.70
  6. Step 6: Final answer
    x = 27,459.16

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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.