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Finding the Fourth Proportional to 32,086.84, 48,134.22 and 11,031.16

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Solution

The fourth proportional to 32,086.84, 48,134.22 and 11,031.16 is: 16,548.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,086.84 : 48,134.22 = 11,031.16 : x
  2. Step 2: Convert to fraction form
    32,086.84/48,134.22 = 11,031.16/x
  3. Step 3: Cross multiply
    32,086.84x = 48,134.22 × 11,031.16
  4. Step 4: Simplify right side
    32,086.84x = 530,976,282.30
  5. Step 5: Solve for x
    x = 530,976,282.30/32,086.84
  6. Step 6: Final answer
    x = 16,548.10

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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.