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Finding the Fourth Proportional to 31,322.26, 46,978.83 and 9,129.68

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Solution

The fourth proportional to 31,322.26, 46,978.83 and 9,129.68 is: 13,693.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,322.26 : 46,978.83 = 9,129.68 : x
  2. Step 2: Convert to fraction form
    31,322.26/46,978.83 = 9,129.68/x
  3. Step 3: Cross multiply
    31,322.26x = 46,978.83 × 9,129.68
  4. Step 4: Simplify right side
    31,322.26x = 428,901,625.95
  5. Step 5: Solve for x
    x = 428,901,625.95/31,322.26
  6. Step 6: Final answer
    x = 13,693.19

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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.