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Finding the Fourth Proportional to 69,459.28, 104,049.96 and 31,967.98

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Solution

The fourth proportional to 69,459.28, 104,049.96 and 31,967.98 is: 47,888.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,459.28 : 104,049.96 = 31,967.98 : x
  2. Step 2: Convert to fraction form
    69,459.28/104,049.96 = 31,967.98/x
  3. Step 3: Cross multiply
    69,459.28x = 104,049.96 × 31,967.98
  4. Step 4: Simplify right side
    69,459.28x = 3,326,267,040.28
  5. Step 5: Solve for x
    x = 3,326,267,040.28/69,459.28
  6. Step 6: Final answer
    x = 47,888.01

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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.