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Finding the Fourth Proportional to 47,048, 70,572 and 14,216

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Solution

The fourth proportional to 47,048, 70,572 and 14,216 is: 21,324

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,048 : 70,572 = 14,216 : x
  2. Step 2: Convert to fraction form
    47,048/70,572 = 14,216/x
  3. Step 3: Cross multiply
    47,048x = 70,572 × 14,216
  4. Step 4: Simplify right side
    47,048x = 1,003,251,552
  5. Step 5: Solve for x
    x = 1,003,251,552/47,048
  6. Step 6: Final answer
    x = 21,324

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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.