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Finding the Fourth Proportional to 31,157.46, 42,998.03 and 17,010.40

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Solution

The fourth proportional to 31,157.46, 42,998.03 and 17,010.40 is: 23,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,157.46 : 42,998.03 = 17,010.40 : x
  2. Step 2: Convert to fraction form
    31,157.46/42,998.03 = 17,010.40/x
  3. Step 3: Cross multiply
    31,157.46x = 42,998.03 × 17,010.40
  4. Step 4: Simplify right side
    31,157.46x = 731,413,689.51
  5. Step 5: Solve for x
    x = 731,413,689.51/31,157.46
  6. Step 6: Final answer
    x = 23,474.75

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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.