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Finding the Fourth Proportional to 47,533.48, 71,285.82 and 19,825

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Solution

The fourth proportional to 47,533.48, 71,285.82 and 19,825 is: 29,731.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,533.48 : 71,285.82 = 19,825 : x
  2. Step 2: Convert to fraction form
    47,533.48/71,285.82 = 19,825/x
  3. Step 3: Cross multiply
    47,533.48x = 71,285.82 × 19,825
  4. Step 4: Simplify right side
    47,533.48x = 1,413,241,381.50
  5. Step 5: Solve for x
    x = 1,413,241,381.50/47,533.48
  6. Step 6: Final answer
    x = 29,731.49

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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.