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Finding the Fourth Proportional to 69,728.56, 96,225.48 and 37,897.36

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Solution

The fourth proportional to 69,728.56, 96,225.48 and 37,897.36 is: 52,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,728.56 : 96,225.48 = 37,897.36 : x
  2. Step 2: Convert to fraction form
    69,728.56/96,225.48 = 37,897.36/x
  3. Step 3: Cross multiply
    69,728.56x = 96,225.48 × 37,897.36
  4. Step 4: Simplify right side
    69,728.56x = 3,646,691,656.73
  5. Step 5: Solve for x
    x = 3,646,691,656.73/69,728.56
  6. Step 6: Final answer
    x = 52,298.39

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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.