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Finding the Fourth Proportional to 82,348.98, 123,524.82 and 23,186.07

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Solution

The fourth proportional to 82,348.98, 123,524.82 and 23,186.07 is: 34,779.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,348.98 : 123,524.82 = 23,186.07 : x
  2. Step 2: Convert to fraction form
    82,348.98/123,524.82 = 23,186.07/x
  3. Step 3: Cross multiply
    82,348.98x = 123,524.82 × 23,186.07
  4. Step 4: Simplify right side
    82,348.98x = 2,864,055,123.26
  5. Step 5: Solve for x
    x = 2,864,055,123.26/82,348.98
  6. Step 6: Final answer
    x = 34,779.49

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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.