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Finding the Fourth Proportional to 77,134.50, 115,710.93 and 27,204.24

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Solution

The fourth proportional to 77,134.50, 115,710.93 and 27,204.24 is: 40,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,134.50 : 115,710.93 = 27,204.24 : x
  2. Step 2: Convert to fraction form
    77,134.50/115,710.93 = 27,204.24/x
  3. Step 3: Cross multiply
    77,134.50x = 115,710.93 × 27,204.24
  4. Step 4: Simplify right side
    77,134.50x = 3,147,827,910.34
  5. Step 5: Solve for x
    x = 3,147,827,910.34/77,134.50
  6. Step 6: Final answer
    x = 40,809.60

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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.