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Finding the Fourth Proportional to 83,838.50, 125,776.12 and 36,460.94

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Solution

The fourth proportional to 83,838.50, 125,776.12 and 36,460.94 is: 54,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,838.50 : 125,776.12 = 36,460.94 : x
  2. Step 2: Convert to fraction form
    83,838.50/125,776.12 = 36,460.94/x
  3. Step 3: Cross multiply
    83,838.50x = 125,776.12 × 36,460.94
  4. Step 4: Simplify right side
    83,838.50x = 4,585,914,844.72
  5. Step 5: Solve for x
    x = 4,585,914,844.72/83,838.50
  6. Step 6: Final answer
    x = 54,699.39

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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.