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Finding the Fourth Proportional to 47,241.66, 70,871.21 and 19,541.82

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Solution

The fourth proportional to 47,241.66, 70,871.21 and 19,541.82 is: 29,316.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,241.66 : 70,871.21 = 19,541.82 : x
  2. Step 2: Convert to fraction form
    47,241.66/70,871.21 = 19,541.82/x
  3. Step 3: Cross multiply
    47,241.66x = 70,871.21 × 19,541.82
  4. Step 4: Simplify right side
    47,241.66x = 1,384,952,429.00
  5. Step 5: Solve for x
    x = 1,384,952,429.00/47,241.66
  6. Step 6: Final answer
    x = 29,316.34

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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.