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Finding the Fourth Proportional to 76,970.86, 105,812.03 and 66,175.96

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Solution

The fourth proportional to 76,970.86, 105,812.03 and 66,175.96 is: 90,972.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,970.86 : 105,812.03 = 66,175.96 : x
  2. Step 2: Convert to fraction form
    76,970.86/105,812.03 = 66,175.96/x
  3. Step 3: Cross multiply
    76,970.86x = 105,812.03 × 66,175.96
  4. Step 4: Simplify right side
    76,970.86x = 7,002,212,664.80
  5. Step 5: Solve for x
    x = 7,002,212,664.80/76,970.86
  6. Step 6: Final answer
    x = 90,972.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.