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Finding the Fourth Proportional to 69,698.54, 104,535.47 and 31,739.10

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Solution

The fourth proportional to 69,698.54, 104,535.47 and 31,739.10 is: 47,603.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,698.54 : 104,535.47 = 31,739.10 : x
  2. Step 2: Convert to fraction form
    69,698.54/104,535.47 = 31,739.10/x
  3. Step 3: Cross multiply
    69,698.54x = 104,535.47 × 31,739.10
  4. Step 4: Simplify right side
    69,698.54x = 3,317,861,577.18
  5. Step 5: Solve for x
    x = 3,317,861,577.18/69,698.54
  6. Step 6: Final answer
    x = 47,603.03

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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.