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Finding the Fourth Proportional to 32,384.70, 48,576.78 and 9,011.07

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Solution

The fourth proportional to 32,384.70, 48,576.78 and 9,011.07 is: 13,516.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,384.70 : 48,576.78 = 9,011.07 : x
  2. Step 2: Convert to fraction form
    32,384.70/48,576.78 = 9,011.07/x
  3. Step 3: Cross multiply
    32,384.70x = 48,576.78 × 9,011.07
  4. Step 4: Simplify right side
    32,384.70x = 437,728,764.95
  5. Step 5: Solve for x
    x = 437,728,764.95/32,384.70
  6. Step 6: Final answer
    x = 13,516.53

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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.