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Finding the Fourth Proportional to 31,924, 47,886 and 10,036

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Solution

The fourth proportional to 31,924, 47,886 and 10,036 is: 15,054

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,924 : 47,886 = 10,036 : x
  2. Step 2: Convert to fraction form
    31,924/47,886 = 10,036/x
  3. Step 3: Cross multiply
    31,924x = 47,886 × 10,036
  4. Step 4: Simplify right side
    31,924x = 480,583,896
  5. Step 5: Solve for x
    x = 480,583,896/31,924
  6. Step 6: Final answer
    x = 15,054

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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.