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Finding the Fourth Proportional to 31,496.63, 43,465.34 and 17,349.77

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Solution

The fourth proportional to 31,496.63, 43,465.34 and 17,349.77 is: 23,942.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,496.63 : 43,465.34 = 17,349.77 : x
  2. Step 2: Convert to fraction form
    31,496.63/43,465.34 = 17,349.77/x
  3. Step 3: Cross multiply
    31,496.63x = 43,465.34 × 17,349.77
  4. Step 4: Simplify right side
    31,496.63x = 754,113,804.01
  5. Step 5: Solve for x
    x = 754,113,804.01/31,496.63
  6. Step 6: Final answer
    x = 23,942.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.