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Finding the Fourth Proportional to 83,137.50, 114,734.61 and 47,329.02

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Solution

The fourth proportional to 83,137.50, 114,734.61 and 47,329.02 is: 65,316.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,137.50 : 114,734.61 = 47,329.02 : x
  2. Step 2: Convert to fraction form
    83,137.50/114,734.61 = 47,329.02/x
  3. Step 3: Cross multiply
    83,137.50x = 114,734.61 × 47,329.02
  4. Step 4: Simplify right side
    83,137.50x = 5,430,276,651.38
  5. Step 5: Solve for x
    x = 5,430,276,651.38/83,137.50
  6. Step 6: Final answer
    x = 65,316.81

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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.