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Finding the Fourth Proportional to 32,001.88, 47,976.90 and 14,462.68

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Solution

The fourth proportional to 32,001.88, 47,976.90 and 14,462.68 is: 21,682.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,001.88 : 47,976.90 = 14,462.68 : x
  2. Step 2: Convert to fraction form
    32,001.88/47,976.90 = 14,462.68/x
  3. Step 3: Cross multiply
    32,001.88x = 47,976.90 × 14,462.68
  4. Step 4: Simplify right side
    32,001.88x = 693,874,552.09
  5. Step 5: Solve for x
    x = 693,874,552.09/32,001.88
  6. Step 6: Final answer
    x = 21,682.31

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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.