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Finding the Fourth Proportional to 64,622.26, 96,864.02 and 31,268.80

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Solution

The fourth proportional to 64,622.26, 96,864.02 and 31,268.80 is: 46,869.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,622.26 : 96,864.02 = 31,268.80 : x
  2. Step 2: Convert to fraction form
    64,622.26/96,864.02 = 31,268.80/x
  3. Step 3: Cross multiply
    64,622.26x = 96,864.02 × 31,268.80
  4. Step 4: Simplify right side
    64,622.26x = 3,028,821,668.58
  5. Step 5: Solve for x
    x = 3,028,821,668.58/64,622.26
  6. Step 6: Final answer
    x = 46,869.63

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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.