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Finding the Fourth Proportional to 34,596.41, 51,862.10 and 31,514.96

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Solution

The fourth proportional to 34,596.41, 51,862.10 and 31,514.96 is: 47,242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,596.41 : 51,862.10 = 31,514.96 : x
  2. Step 2: Convert to fraction form
    34,596.41/51,862.10 = 31,514.96/x
  3. Step 3: Cross multiply
    34,596.41x = 51,862.10 × 31,514.96
  4. Step 4: Simplify right side
    34,596.41x = 1,634,431,590.13
  5. Step 5: Solve for x
    x = 1,634,431,590.13/34,596.41
  6. Step 6: Final answer
    x = 47,242.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.