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Finding the Fourth Proportional to 46,902.29, 64,731.42 and 27,780.56

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Solution

The fourth proportional to 46,902.29, 64,731.42 and 27,780.56 is: 38,340.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,902.29 : 64,731.42 = 27,780.56 : x
  2. Step 2: Convert to fraction form
    46,902.29/64,731.42 = 27,780.56/x
  3. Step 3: Cross multiply
    46,902.29x = 64,731.42 × 27,780.56
  4. Step 4: Simplify right side
    46,902.29x = 1,798,274,634.64
  5. Step 5: Solve for x
    x = 1,798,274,634.64/46,902.29
  6. Step 6: Final answer
    x = 38,340.87

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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.