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Finding the Fourth Proportional to 32,422.98, 48,664.80 and 19,967.31

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Solution

The fourth proportional to 32,422.98, 48,664.80 and 19,967.31 is: 29,969.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,422.98 : 48,664.80 = 19,967.31 : x
  2. Step 2: Convert to fraction form
    32,422.98/48,664.80 = 19,967.31/x
  3. Step 3: Cross multiply
    32,422.98x = 48,664.80 × 19,967.31
  4. Step 4: Simplify right side
    32,422.98x = 971,705,147.69
  5. Step 5: Solve for x
    x = 971,705,147.69/32,422.98
  6. Step 6: Final answer
    x = 29,969.64

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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.