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Finding the Fourth Proportional to 47,450.64, 65,479.89 and 28,082.10

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Solution

The fourth proportional to 47,450.64, 65,479.89 and 28,082.10 is: 38,752.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,450.64 : 65,479.89 = 28,082.10 : x
  2. Step 2: Convert to fraction form
    47,450.64/65,479.89 = 28,082.10/x
  3. Step 3: Cross multiply
    47,450.64x = 65,479.89 × 28,082.10
  4. Step 4: Simplify right side
    47,450.64x = 1,838,812,678.56
  5. Step 5: Solve for x
    x = 1,838,812,678.56/47,450.64
  6. Step 6: Final answer
    x = 38,752.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.