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Finding the Fourth Proportional to 71,296.56, 106,955.76 and 24,538.56

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Solution

The fourth proportional to 71,296.56, 106,955.76 and 24,538.56 is: 36,811.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,296.56 : 106,955.76 = 24,538.56 : x
  2. Step 2: Convert to fraction form
    71,296.56/106,955.76 = 24,538.56/x
  3. Step 3: Cross multiply
    71,296.56x = 106,955.76 × 24,538.56
  4. Step 4: Simplify right side
    71,296.56x = 2,624,540,334.11
  5. Step 5: Solve for x
    x = 2,624,540,334.11/71,296.56
  6. Step 6: Final answer
    x = 36,811.60

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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.