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Finding the Fourth Proportional to 83,222.76, 114,847.80 and 45,497

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Solution

The fourth proportional to 83,222.76, 114,847.80 and 45,497 is: 62,786.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,222.76 : 114,847.80 = 45,497 : x
  2. Step 2: Convert to fraction form
    83,222.76/114,847.80 = 45,497/x
  3. Step 3: Cross multiply
    83,222.76x = 114,847.80 × 45,497
  4. Step 4: Simplify right side
    83,222.76x = 5,225,230,356.60
  5. Step 5: Solve for x
    x = 5,225,230,356.60/83,222.76
  6. Step 6: Final answer
    x = 62,786.07

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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.