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Finding the Fourth Proportional to 76,950.82, 105,955.26 and 65,594.86

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Solution

The fourth proportional to 76,950.82, 105,955.26 and 65,594.86 is: 90,318.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,950.82 : 105,955.26 = 65,594.86 : x
  2. Step 2: Convert to fraction form
    76,950.82/105,955.26 = 65,594.86/x
  3. Step 3: Cross multiply
    76,950.82x = 105,955.26 × 65,594.86
  4. Step 4: Simplify right side
    76,950.82x = 6,950,119,752.20
  5. Step 5: Solve for x
    x = 6,950,119,752.20/76,950.82
  6. Step 6: Final answer
    x = 90,318.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.