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Finding the Fourth Proportional to 31,496.85, 43,465.71 and 17,156.64

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Solution

The fourth proportional to 31,496.85, 43,465.71 and 17,156.64 is: 23,676.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,496.85 : 43,465.71 = 17,156.64 : x
  2. Step 2: Convert to fraction form
    31,496.85/43,465.71 = 17,156.64/x
  3. Step 3: Cross multiply
    31,496.85x = 43,465.71 × 17,156.64
  4. Step 4: Simplify right side
    31,496.85x = 745,725,538.81
  5. Step 5: Solve for x
    x = 745,725,538.81/31,496.85
  6. Step 6: Final answer
    x = 23,676.19

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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.