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Finding the Fourth Proportional to 69,238.97, 103,816.93 and 31,752.08

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Solution

The fourth proportional to 69,238.97, 103,816.93 and 31,752.08 is: 47,609.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,238.97 : 103,816.93 = 31,752.08 : x
  2. Step 2: Convert to fraction form
    69,238.97/103,816.93 = 31,752.08/x
  3. Step 3: Cross multiply
    69,238.97x = 103,816.93 × 31,752.08
  4. Step 4: Simplify right side
    69,238.97x = 3,296,403,466.71
  5. Step 5: Solve for x
    x = 3,296,403,466.71/69,238.97
  6. Step 6: Final answer
    x = 47,609.08

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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.