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Finding the Fourth Proportional to 37,857.38, 52,230.65 and 24,437.57

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Solution

The fourth proportional to 37,857.38, 52,230.65 and 24,437.57 is: 33,715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,857.38 : 52,230.65 = 24,437.57 : x
  2. Step 2: Convert to fraction form
    37,857.38/52,230.65 = 24,437.57/x
  3. Step 3: Cross multiply
    37,857.38x = 52,230.65 × 24,437.57
  4. Step 4: Simplify right side
    37,857.38x = 1,276,389,782.18
  5. Step 5: Solve for x
    x = 1,276,389,782.18/37,857.38
  6. Step 6: Final answer
    x = 33,715.75

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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.