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Finding the Fourth Proportional to 47,034.73, 64,902.63 and 27,907.66

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Solution

The fourth proportional to 47,034.73, 64,902.63 and 27,907.66 is: 38,509.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,034.73 : 64,902.63 = 27,907.66 : x
  2. Step 2: Convert to fraction form
    47,034.73/64,902.63 = 27,907.66/x
  3. Step 3: Cross multiply
    47,034.73x = 64,902.63 × 27,907.66
  4. Step 4: Simplify right side
    47,034.73x = 1,811,280,531.15
  5. Step 5: Solve for x
    x = 1,811,280,531.15/47,034.73
  6. Step 6: Final answer
    x = 38,509.43

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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.