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Finding the Fourth Proportional to 76,643.98, 114,983.28 and 23,340.74

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Solution

The fourth proportional to 76,643.98, 114,983.28 and 23,340.74 is: 35,016.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,643.98 : 114,983.28 = 23,340.74 : x
  2. Step 2: Convert to fraction form
    76,643.98/114,983.28 = 23,340.74/x
  3. Step 3: Cross multiply
    76,643.98x = 114,983.28 × 23,340.74
  4. Step 4: Simplify right side
    76,643.98x = 2,683,794,842.83
  5. Step 5: Solve for x
    x = 2,683,794,842.83/76,643.98
  6. Step 6: Final answer
    x = 35,016.38

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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.