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Finding the Fourth Proportional to 71,903.26, 107,817.54 and 21,973.24

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Solution

The fourth proportional to 71,903.26, 107,817.54 and 21,973.24 is: 32,948.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,903.26 : 107,817.54 = 21,973.24 : x
  2. Step 2: Convert to fraction form
    71,903.26/107,817.54 = 21,973.24/x
  3. Step 3: Cross multiply
    71,903.26x = 107,817.54 × 21,973.24
  4. Step 4: Simplify right side
    71,903.26x = 2,369,100,682.63
  5. Step 5: Solve for x
    x = 2,369,100,682.63/71,903.26
  6. Step 6: Final answer
    x = 32,948.45

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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.