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Finding the Fourth Proportional to 53,770.38, 74,201.18 and 29,571.14

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Solution

The fourth proportional to 53,770.38, 74,201.18 and 29,571.14 is: 40,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,770.38 : 74,201.18 = 29,571.14 : x
  2. Step 2: Convert to fraction form
    53,770.38/74,201.18 = 29,571.14/x
  3. Step 3: Cross multiply
    53,770.38x = 74,201.18 × 29,571.14
  4. Step 4: Simplify right side
    53,770.38x = 2,194,213,184.87
  5. Step 5: Solve for x
    x = 2,194,213,184.87/53,770.38
  6. Step 6: Final answer
    x = 40,807.10

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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.