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Finding the Fourth Proportional to 47,224, 70,840.86 and 13,952.44

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Solution

The fourth proportional to 47,224, 70,840.86 and 13,952.44 is: 20,930.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,224 : 70,840.86 = 13,952.44 : x
  2. Step 2: Convert to fraction form
    47,224/70,840.86 = 13,952.44/x
  3. Step 3: Cross multiply
    47,224x = 70,840.86 × 13,952.44
  4. Step 4: Simplify right side
    47,224x = 988,402,848.70
  5. Step 5: Solve for x
    x = 988,402,848.70/47,224
  6. Step 6: Final answer
    x = 20,930.10

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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.