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Finding the Fourth Proportional to 31,514.50, 43,490.01 and 17,368.66

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Solution

The fourth proportional to 31,514.50, 43,490.01 and 17,368.66 is: 23,968.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,514.50 : 43,490.01 = 17,368.66 : x
  2. Step 2: Convert to fraction form
    31,514.50/43,490.01 = 17,368.66/x
  3. Step 3: Cross multiply
    31,514.50x = 43,490.01 × 17,368.66
  4. Step 4: Simplify right side
    31,514.50x = 755,363,197.09
  5. Step 5: Solve for x
    x = 755,363,197.09/31,514.50
  6. Step 6: Final answer
    x = 23,968.75

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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.