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Finding the Fourth Proportional to 47,110.96, 70,679.40 and 19,428.40

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Solution

The fourth proportional to 47,110.96, 70,679.40 and 19,428.40 is: 29,147.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,110.96 : 70,679.40 = 19,428.40 : x
  2. Step 2: Convert to fraction form
    47,110.96/70,679.40 = 19,428.40/x
  3. Step 3: Cross multiply
    47,110.96x = 70,679.40 × 19,428.40
  4. Step 4: Simplify right side
    47,110.96x = 1,373,187,654.96
  5. Step 5: Solve for x
    x = 1,373,187,654.96/47,110.96
  6. Step 6: Final answer
    x = 29,147.94

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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.