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Finding the Fourth Proportional to 63,696, 95,544 and 24,784

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Solution

The fourth proportional to 63,696, 95,544 and 24,784 is: 37,176

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,696 : 95,544 = 24,784 : x
  2. Step 2: Convert to fraction form
    63,696/95,544 = 24,784/x
  3. Step 3: Cross multiply
    63,696x = 95,544 × 24,784
  4. Step 4: Simplify right side
    63,696x = 2,367,962,496
  5. Step 5: Solve for x
    x = 2,367,962,496/63,696
  6. Step 6: Final answer
    x = 37,176

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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.