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Finding the Fourth Proportional to 47,275.86, 65,251.81 and 29,384.38

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Solution

The fourth proportional to 47,275.86, 65,251.81 and 29,384.38 is: 40,557.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,275.86 : 65,251.81 = 29,384.38 : x
  2. Step 2: Convert to fraction form
    47,275.86/65,251.81 = 29,384.38/x
  3. Step 3: Cross multiply
    47,275.86x = 65,251.81 × 29,384.38
  4. Step 4: Simplify right side
    47,275.86x = 1,917,383,980.73
  5. Step 5: Solve for x
    x = 1,917,383,980.73/47,275.86
  6. Step 6: Final answer
    x = 40,557.36

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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.