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Finding the Fourth Proportional to 32,409.54, 48,614.70 and 9,034.56

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Solution

The fourth proportional to 32,409.54, 48,614.70 and 9,034.56 is: 13,551.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.54 : 48,614.70 = 9,034.56 : x
  2. Step 2: Convert to fraction form
    32,409.54/48,614.70 = 9,034.56/x
  3. Step 3: Cross multiply
    32,409.54x = 48,614.70 × 9,034.56
  4. Step 4: Simplify right side
    32,409.54x = 439,212,424.03
  5. Step 5: Solve for x
    x = 439,212,424.03/32,409.54
  6. Step 6: Final answer
    x = 13,551.95

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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.