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Finding the Fourth Proportional to 69,829.77, 96,365.10 and 37,997.98

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Solution

The fourth proportional to 69,829.77, 96,365.10 and 37,997.98 is: 52,437.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,829.77 : 96,365.10 = 37,997.98 : x
  2. Step 2: Convert to fraction form
    69,829.77/96,365.10 = 37,997.98/x
  3. Step 3: Cross multiply
    69,829.77x = 96,365.10 × 37,997.98
  4. Step 4: Simplify right side
    69,829.77x = 3,661,679,142.50
  5. Step 5: Solve for x
    x = 3,661,679,142.50/69,829.77
  6. Step 6: Final answer
    x = 52,437.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.