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Finding the Fourth Proportional to 47,054, 70,581 and 14,222

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Solution

The fourth proportional to 47,054, 70,581 and 14,222 is: 21,333

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,054 : 70,581 = 14,222 : x
  2. Step 2: Convert to fraction form
    47,054/70,581 = 14,222/x
  3. Step 3: Cross multiply
    47,054x = 70,581 × 14,222
  4. Step 4: Simplify right side
    47,054x = 1,003,802,982
  5. Step 5: Solve for x
    x = 1,003,802,982/47,054
  6. Step 6: Final answer
    x = 21,333

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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.