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Finding the Fourth Proportional to 35,981.38, 49,654.35 and 19,848.32

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Solution

The fourth proportional to 35,981.38, 49,654.35 and 19,848.32 is: 27,390.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,981.38 : 49,654.35 = 19,848.32 : x
  2. Step 2: Convert to fraction form
    35,981.38/49,654.35 = 19,848.32/x
  3. Step 3: Cross multiply
    35,981.38x = 49,654.35 × 19,848.32
  4. Step 4: Simplify right side
    35,981.38x = 985,555,428.19
  5. Step 5: Solve for x
    x = 985,555,428.19/35,981.38
  6. Step 6: Final answer
    x = 27,390.71

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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.