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Finding the Fourth Proportional to 71,497.22, 107,254.77 and 21,577.24

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Solution

The fourth proportional to 71,497.22, 107,254.77 and 21,577.24 is: 32,368.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,497.22 : 107,254.77 = 21,577.24 : x
  2. Step 2: Convert to fraction form
    71,497.22/107,254.77 = 21,577.24/x
  3. Step 3: Cross multiply
    71,497.22x = 107,254.77 × 21,577.24
  4. Step 4: Simplify right side
    71,497.22x = 2,314,261,913.43
  5. Step 5: Solve for x
    x = 2,314,261,913.43/71,497.22
  6. Step 6: Final answer
    x = 32,368.56

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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.