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Finding the Fourth Proportional to 57,447, 79,276.86 and 32,296.68

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Solution

The fourth proportional to 57,447, 79,276.86 and 32,296.68 is: 44,569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,447 : 79,276.86 = 32,296.68 : x
  2. Step 2: Convert to fraction form
    57,447/79,276.86 = 32,296.68/x
  3. Step 3: Cross multiply
    57,447x = 79,276.86 × 32,296.68
  4. Step 4: Simplify right side
    57,447x = 2,560,379,378.82
  5. Step 5: Solve for x
    x = 2,560,379,378.82/57,447
  6. Step 6: Final answer
    x = 44,569.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.