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Finding the Fourth Proportional to 31,895.32, 47,853.23 and 9,712.99

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Solution

The fourth proportional to 31,895.32, 47,853.23 and 9,712.99 is: 14,572.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,895.32 : 47,853.23 = 9,712.99 : x
  2. Step 2: Convert to fraction form
    31,895.32/47,853.23 = 9,712.99/x
  3. Step 3: Cross multiply
    31,895.32x = 47,853.23 × 9,712.99
  4. Step 4: Simplify right side
    31,895.32x = 464,797,944.46
  5. Step 5: Solve for x
    x = 464,797,944.46/31,895.32
  6. Step 6: Final answer
    x = 14,572.61

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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.