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Finding the Fourth Proportional to 32,382.84, 48,543.84 and 11,309.88

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Solution

The fourth proportional to 32,382.84, 48,543.84 and 11,309.88 is: 16,954.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,382.84 : 48,543.84 = 11,309.88 : x
  2. Step 2: Convert to fraction form
    32,382.84/48,543.84 = 11,309.88/x
  3. Step 3: Cross multiply
    32,382.84x = 48,543.84 × 11,309.88
  4. Step 4: Simplify right side
    32,382.84x = 549,025,005.14
  5. Step 5: Solve for x
    x = 549,025,005.14/32,382.84
  6. Step 6: Final answer
    x = 16,954.20

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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.