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Finding the Fourth Proportional to 75,286.19, 103,894.23 and 41,294.00

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Solution

The fourth proportional to 75,286.19, 103,894.23 and 41,294.00 is: 56,985.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,286.19 : 103,894.23 = 41,294.00 : x
  2. Step 2: Convert to fraction form
    75,286.19/103,894.23 = 41,294.00/x
  3. Step 3: Cross multiply
    75,286.19x = 103,894.23 × 41,294.00
  4. Step 4: Simplify right side
    75,286.19x = 4,290,207,607.68
  5. Step 5: Solve for x
    x = 4,290,207,607.68/75,286.19
  6. Step 6: Final answer
    x = 56,985.32

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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.