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Finding the Fourth Proportional to 77,090.85, 115,654.68 and 24,500.43

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Solution

The fourth proportional to 77,090.85, 115,654.68 and 24,500.43 is: 36,756.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,090.85 : 115,654.68 = 24,500.43 : x
  2. Step 2: Convert to fraction form
    77,090.85/115,654.68 = 24,500.43/x
  3. Step 3: Cross multiply
    77,090.85x = 115,654.68 × 24,500.43
  4. Step 4: Simplify right side
    77,090.85x = 2,833,589,391.51
  5. Step 5: Solve for x
    x = 2,833,589,391.51/77,090.85
  6. Step 6: Final answer
    x = 36,756.49

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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.