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Finding the Fourth Proportional to 47,056, 70,584 and 14,224

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Solution

The fourth proportional to 47,056, 70,584 and 14,224 is: 21,336

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,056 : 70,584 = 14,224 : x
  2. Step 2: Convert to fraction form
    47,056/70,584 = 14,224/x
  3. Step 3: Cross multiply
    47,056x = 70,584 × 14,224
  4. Step 4: Simplify right side
    47,056x = 1,003,986,816
  5. Step 5: Solve for x
    x = 1,003,986,816/47,056
  6. Step 6: Final answer
    x = 21,336

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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.