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Finding the Fourth Proportional to 32,321.84, 48,470.74 and 11,256.46

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Solution

The fourth proportional to 32,321.84, 48,470.74 and 11,256.46 is: 16,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,321.84 : 48,470.74 = 11,256.46 : x
  2. Step 2: Convert to fraction form
    32,321.84/48,470.74 = 11,256.46/x
  3. Step 3: Cross multiply
    32,321.84x = 48,470.74 × 11,256.46
  4. Step 4: Simplify right side
    32,321.84x = 545,608,945.98
  5. Step 5: Solve for x
    x = 545,608,945.98/32,321.84
  6. Step 6: Final answer
    x = 16,880.50

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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.