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Finding the Fourth Proportional to 37,369.08, 56,052 and 9,288.54

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Solution

The fourth proportional to 37,369.08, 56,052 and 9,288.54 is: 13,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,369.08 : 56,052 = 9,288.54 : x
  2. Step 2: Convert to fraction form
    37,369.08/56,052 = 9,288.54/x
  3. Step 3: Cross multiply
    37,369.08x = 56,052 × 9,288.54
  4. Step 4: Simplify right side
    37,369.08x = 520,641,244.08
  5. Step 5: Solve for x
    x = 520,641,244.08/37,369.08
  6. Step 6: Final answer
    x = 13,932.41

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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.