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Finding the Fourth Proportional to 47,544, 71,316 and 14,712

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Solution

The fourth proportional to 47,544, 71,316 and 14,712 is: 22,068

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,544 : 71,316 = 14,712 : x
  2. Step 2: Convert to fraction form
    47,544/71,316 = 14,712/x
  3. Step 3: Cross multiply
    47,544x = 71,316 × 14,712
  4. Step 4: Simplify right side
    47,544x = 1,049,200,992
  5. Step 5: Solve for x
    x = 1,049,200,992/47,544
  6. Step 6: Final answer
    x = 22,068

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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.