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Finding the Fourth Proportional to 71,368.12, 107,069.94 and 21,449.02

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Solution

The fourth proportional to 71,368.12, 107,069.94 and 21,449.02 is: 32,178.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,368.12 : 107,069.94 = 21,449.02 : x
  2. Step 2: Convert to fraction form
    71,368.12/107,069.94 = 21,449.02/x
  3. Step 3: Cross multiply
    71,368.12x = 107,069.94 × 21,449.02
  4. Step 4: Simplify right side
    71,368.12x = 2,296,545,284.46
  5. Step 5: Solve for x
    x = 2,296,545,284.46/71,368.12
  6. Step 6: Final answer
    x = 32,178.87

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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.