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Finding the Fourth Proportional to 31,590.72, 43,595.64 and 17,443.80

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Solution

The fourth proportional to 31,590.72, 43,595.64 and 17,443.80 is: 24,072.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,590.72 : 43,595.64 = 17,443.80 : x
  2. Step 2: Convert to fraction form
    31,590.72/43,595.64 = 17,443.80/x
  3. Step 3: Cross multiply
    31,590.72x = 43,595.64 × 17,443.80
  4. Step 4: Simplify right side
    31,590.72x = 760,473,625.03
  5. Step 5: Solve for x
    x = 760,473,625.03/31,590.72
  6. Step 6: Final answer
    x = 24,072.69

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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.