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Finding the Fourth Proportional to 53,105.95, 73,286.19 and 29,232.50

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Solution

The fourth proportional to 53,105.95, 73,286.19 and 29,232.50 is: 40,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,105.95 : 73,286.19 = 29,232.50 : x
  2. Step 2: Convert to fraction form
    53,105.95/73,286.19 = 29,232.50/x
  3. Step 3: Cross multiply
    53,105.95x = 73,286.19 × 29,232.50
  4. Step 4: Simplify right side
    53,105.95x = 2,142,338,549.18
  5. Step 5: Solve for x
    x = 2,142,338,549.18/53,105.95
  6. Step 6: Final answer
    x = 40,340.84

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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.