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Finding the Fourth Proportional to 47,063.52, 70,605.78 and 15,897.96

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Solution

The fourth proportional to 47,063.52, 70,605.78 and 15,897.96 is: 23,850.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,063.52 : 70,605.78 = 15,897.96 : x
  2. Step 2: Convert to fraction form
    47,063.52/70,605.78 = 15,897.96/x
  3. Step 3: Cross multiply
    47,063.52x = 70,605.78 × 15,897.96
  4. Step 4: Simplify right side
    47,063.52x = 1,122,487,866.21
  5. Step 5: Solve for x
    x = 1,122,487,866.21/47,063.52
  6. Step 6: Final answer
    x = 23,850.49

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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.