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Finding the Fourth Proportional to 71,400.50, 107,106.14 and 24,015.73

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Solution

The fourth proportional to 71,400.50, 107,106.14 and 24,015.73 is: 36,025.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,400.50 : 107,106.14 = 24,015.73 : x
  2. Step 2: Convert to fraction form
    71,400.50/107,106.14 = 24,015.73/x
  3. Step 3: Cross multiply
    71,400.50x = 107,106.14 × 24,015.73
  4. Step 4: Simplify right side
    71,400.50x = 2,572,232,139.58
  5. Step 5: Solve for x
    x = 2,572,232,139.58/71,400.50
  6. Step 6: Final answer
    x = 36,025.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.