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Finding the Fourth Proportional to 74,286.40, 102,514.62 and 40,294.80

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Solution

The fourth proportional to 74,286.40, 102,514.62 and 40,294.80 is: 55,606.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,286.40 : 102,514.62 = 40,294.80 : x
  2. Step 2: Convert to fraction form
    74,286.40/102,514.62 = 40,294.80/x
  3. Step 3: Cross multiply
    74,286.40x = 102,514.62 × 40,294.80
  4. Step 4: Simplify right side
    74,286.40x = 4,130,805,859.43
  5. Step 5: Solve for x
    x = 4,130,805,859.43/74,286.40
  6. Step 6: Final answer
    x = 55,606.49

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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.