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Finding the Fourth Proportional to 64,554.06, 96,743.52 and 31,207.71

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Solution

The fourth proportional to 64,554.06, 96,743.52 and 31,207.71 is: 46,769.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,554.06 : 96,743.52 = 31,207.71 : x
  2. Step 2: Convert to fraction form
    64,554.06/96,743.52 = 31,207.71/x
  3. Step 3: Cross multiply
    64,554.06x = 96,743.52 × 31,207.71
  4. Step 4: Simplify right side
    64,554.06x = 3,019,143,716.54
  5. Step 5: Solve for x
    x = 3,019,143,716.54/64,554.06
  6. Step 6: Final answer
    x = 46,769.23

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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.