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Finding the Fourth Proportional to 31,926.04, 47,888.97 and 14,375.32

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Solution

The fourth proportional to 31,926.04, 47,888.97 and 14,375.32 is: 21,562.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,926.04 : 47,888.97 = 14,375.32 : x
  2. Step 2: Convert to fraction form
    31,926.04/47,888.97 = 14,375.32/x
  3. Step 3: Cross multiply
    31,926.04x = 47,888.97 × 14,375.32
  4. Step 4: Simplify right side
    31,926.04x = 688,419,268.22
  5. Step 5: Solve for x
    x = 688,419,268.22/31,926.04
  6. Step 6: Final answer
    x = 21,562.94

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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.