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Finding the Fourth Proportional to 49,248, 73,872.64 and 16,416

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Solution

The fourth proportional to 49,248, 73,872.64 and 16,416 is: 24,624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,248 : 73,872.64 = 16,416 : x
  2. Step 2: Convert to fraction form
    49,248/73,872.64 = 16,416/x
  3. Step 3: Cross multiply
    49,248x = 73,872.64 × 16,416
  4. Step 4: Simplify right side
    49,248x = 1,212,693,258.24
  5. Step 5: Solve for x
    x = 1,212,693,258.24/49,248
  6. Step 6: Final answer
    x = 24,624.21

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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.