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Finding the Fourth Proportional to 69,460.28, 104,051.46 and 31,968.98

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Solution

The fourth proportional to 69,460.28, 104,051.46 and 31,968.98 is: 47,889.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,460.28 : 104,051.46 = 31,968.98 : x
  2. Step 2: Convert to fraction form
    69,460.28/104,051.46 = 31,968.98/x
  3. Step 3: Cross multiply
    69,460.28x = 104,051.46 × 31,968.98
  4. Step 4: Simplify right side
    69,460.28x = 3,326,419,043.71
  5. Step 5: Solve for x
    x = 3,326,419,043.71/69,460.28
  6. Step 6: Final answer
    x = 47,889.51

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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.