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Finding the Fourth Proportional to 31,584, 47,376 and 9,696

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Solution

The fourth proportional to 31,584, 47,376 and 9,696 is: 14,544

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,584 : 47,376 = 9,696 : x
  2. Step 2: Convert to fraction form
    31,584/47,376 = 9,696/x
  3. Step 3: Cross multiply
    31,584x = 47,376 × 9,696
  4. Step 4: Simplify right side
    31,584x = 459,357,696
  5. Step 5: Solve for x
    x = 459,357,696/31,584
  6. Step 6: Final answer
    x = 14,544

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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.