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Finding the Fourth Proportional to 31,159.98, 43,000.77 and 17,012.84

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Solution

The fourth proportional to 31,159.98, 43,000.77 and 17,012.84 is: 23,477.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,159.98 : 43,000.77 = 17,012.84 : x
  2. Step 2: Convert to fraction form
    31,159.98/43,000.77 = 17,012.84/x
  3. Step 3: Cross multiply
    31,159.98x = 43,000.77 × 17,012.84
  4. Step 4: Simplify right side
    31,159.98x = 731,565,004.88
  5. Step 5: Solve for x
    x = 731,565,004.88/31,159.98
  6. Step 6: Final answer
    x = 23,477.71

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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.