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Finding the Fourth Proportional to 32,076.92, 48,113.88 and 8,384.48

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Solution

The fourth proportional to 32,076.92, 48,113.88 and 8,384.48 is: 12,576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076.92 : 48,113.88 = 8,384.48 : x
  2. Step 2: Convert to fraction form
    32,076.92/48,113.88 = 8,384.48/x
  3. Step 3: Cross multiply
    32,076.92x = 48,113.88 × 8,384.48
  4. Step 4: Simplify right side
    32,076.92x = 403,409,864.58
  5. Step 5: Solve for x
    x = 403,409,864.58/32,076.92
  6. Step 6: Final answer
    x = 12,576.33

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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.