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Finding the Fourth Proportional to 77,016.88, 115,262.46 and 64,550.98

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Solution

The fourth proportional to 77,016.88, 115,262.46 and 64,550.98 is: 96,606.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,016.88 : 115,262.46 = 64,550.98 : x
  2. Step 2: Convert to fraction form
    77,016.88/115,262.46 = 64,550.98/x
  3. Step 3: Cross multiply
    77,016.88x = 115,262.46 × 64,550.98
  4. Step 4: Simplify right side
    77,016.88x = 7,440,304,750.21
  5. Step 5: Solve for x
    x = 7,440,304,750.21/77,016.88
  6. Step 6: Final answer
    x = 96,606.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.