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Finding the Fourth Proportional to 31,565.84, 47,349.06 and 8,192.27

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Solution

The fourth proportional to 31,565.84, 47,349.06 and 8,192.27 is: 12,288.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,565.84 : 47,349.06 = 8,192.27 : x
  2. Step 2: Convert to fraction form
    31,565.84/47,349.06 = 8,192.27/x
  3. Step 3: Cross multiply
    31,565.84x = 47,349.06 × 8,192.27
  4. Step 4: Simplify right side
    31,565.84x = 387,896,371.42
  5. Step 5: Solve for x
    x = 387,896,371.42/31,565.84
  6. Step 6: Final answer
    x = 12,288.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.