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Finding the Fourth Proportional to 74,505.98, 102,817.69 and 40,514.48

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Solution

The fourth proportional to 74,505.98, 102,817.69 and 40,514.48 is: 55,909.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,505.98 : 102,817.69 = 40,514.48 : x
  2. Step 2: Convert to fraction form
    74,505.98/102,817.69 = 40,514.48/x
  3. Step 3: Cross multiply
    74,505.98x = 102,817.69 × 40,514.48
  4. Step 4: Simplify right side
    74,505.98x = 4,165,605,245.15
  5. Step 5: Solve for x
    x = 4,165,605,245.15/74,505.98
  6. Step 6: Final answer
    x = 55,909.68

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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.