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Finding the Fourth Proportional to 32,409.52, 48,614.32 and 9,036.56

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Solution

The fourth proportional to 32,409.52, 48,614.32 and 9,036.56 is: 13,554.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.52 : 48,614.32 = 9,036.56 : x
  2. Step 2: Convert to fraction form
    32,409.52/48,614.32 = 9,036.56/x
  3. Step 3: Cross multiply
    32,409.52x = 48,614.32 × 9,036.56
  4. Step 4: Simplify right side
    32,409.52x = 439,306,219.54
  5. Step 5: Solve for x
    x = 439,306,219.54/32,409.52
  6. Step 6: Final answer
    x = 13,554.85

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1.5x scale

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.