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Finding the Fourth Proportional to 76,643.77, 114,936.49 and 35,061.61

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Solution

The fourth proportional to 76,643.77, 114,936.49 and 35,061.61 is: 52,579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,643.77 : 114,936.49 = 35,061.61 : x
  2. Step 2: Convert to fraction form
    76,643.77/114,936.49 = 35,061.61/x
  3. Step 3: Cross multiply
    76,643.77x = 114,936.49 × 35,061.61
  4. Step 4: Simplify right side
    76,643.77x = 4,029,858,457.75
  5. Step 5: Solve for x
    x = 4,029,858,457.75/76,643.77
  6. Step 6: Final answer
    x = 52,579.07

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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.