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Finding the Fourth Proportional to 47,985.96, 71,978.94 and 24,597.48

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Solution

The fourth proportional to 47,985.96, 71,978.94 and 24,597.48 is: 36,896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,985.96 : 71,978.94 = 24,597.48 : x
  2. Step 2: Convert to fraction form
    47,985.96/71,978.94 = 24,597.48/x
  3. Step 3: Cross multiply
    47,985.96x = 71,978.94 × 24,597.48
  4. Step 4: Simplify right side
    47,985.96x = 1,770,500,537.07
  5. Step 5: Solve for x
    x = 1,770,500,537.07/47,985.96
  6. Step 6: Final answer
    x = 36,896.22

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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.