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Finding the Fourth Proportional to 47,796.56, 71,677.80 and 19,715.44

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Solution

The fourth proportional to 47,796.56, 71,677.80 and 19,715.44 is: 29,566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,796.56 : 71,677.80 = 19,715.44 : x
  2. Step 2: Convert to fraction form
    47,796.56/71,677.80 = 19,715.44/x
  3. Step 3: Cross multiply
    47,796.56x = 71,677.80 × 19,715.44
  4. Step 4: Simplify right side
    47,796.56x = 1,413,159,365.23
  5. Step 5: Solve for x
    x = 1,413,159,365.23/47,796.56
  6. Step 6: Final answer
    x = 29,566.13

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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.