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Finding the Fourth Proportional to 32,727.48, 49,082.98 and 9,354.04

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Solution

The fourth proportional to 32,727.48, 49,082.98 and 9,354.04 is: 14,028.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,727.48 : 49,082.98 = 9,354.04 : x
  2. Step 2: Convert to fraction form
    32,727.48/49,082.98 = 9,354.04/x
  3. Step 3: Cross multiply
    32,727.48x = 49,082.98 × 9,354.04
  4. Step 4: Simplify right side
    32,727.48x = 459,124,158.24
  5. Step 5: Solve for x
    x = 459,124,158.24/32,727.48
  6. Step 6: Final answer
    x = 14,028.70

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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.