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Finding the Fourth Proportional to 71,410.74, 107,116.49 and 21,490.50

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Solution

The fourth proportional to 71,410.74, 107,116.49 and 21,490.50 is: 32,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,410.74 : 107,116.49 = 21,490.50 : x
  2. Step 2: Convert to fraction form
    71,410.74/107,116.49 = 21,490.50/x
  3. Step 3: Cross multiply
    71,410.74x = 107,116.49 × 21,490.50
  4. Step 4: Simplify right side
    71,410.74x = 2,301,986,392.76
  5. Step 5: Solve for x
    x = 2,301,986,392.76/71,410.74
  6. Step 6: Final answer
    x = 32,235.86

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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.