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Finding the Fourth Proportional to 35,701.73, 49,268.40 and 19,787.21

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Solution

The fourth proportional to 35,701.73, 49,268.40 and 19,787.21 is: 27,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,701.73 : 49,268.40 = 19,787.21 : x
  2. Step 2: Convert to fraction form
    35,701.73/49,268.40 = 19,787.21/x
  3. Step 3: Cross multiply
    35,701.73x = 49,268.40 × 19,787.21
  4. Step 4: Simplify right side
    35,701.73x = 974,884,041.38
  5. Step 5: Solve for x
    x = 974,884,041.38/35,701.73
  6. Step 6: Final answer
    x = 27,306.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.