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Finding the Fourth Proportional to 32,604.72, 48,871.76 and 15,976

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Solution

The fourth proportional to 32,604.72, 48,871.76 and 15,976 is: 23,946.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,604.72 : 48,871.76 = 15,976 : x
  2. Step 2: Convert to fraction form
    32,604.72/48,871.76 = 15,976/x
  3. Step 3: Cross multiply
    32,604.72x = 48,871.76 × 15,976
  4. Step 4: Simplify right side
    32,604.72x = 780,775,237.76
  5. Step 5: Solve for x
    x = 780,775,237.76/32,604.72
  6. Step 6: Final answer
    x = 23,946.69

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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.