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Finding the Fourth Proportional to 47,102, 70,647.78 and 13,822.34

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Solution

The fourth proportional to 47,102, 70,647.78 and 13,822.34 is: 20,731.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,102 : 70,647.78 = 13,822.34 : x
  2. Step 2: Convert to fraction form
    47,102/70,647.78 = 13,822.34/x
  3. Step 3: Cross multiply
    47,102x = 70,647.78 × 13,822.34
  4. Step 4: Simplify right side
    47,102x = 976,517,635.41
  5. Step 5: Solve for x
    x = 976,517,635.41/47,102
  6. Step 6: Final answer
    x = 20,731.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.