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Finding the Fourth Proportional to 37,369, 56,047.36 and 15,181.48

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Solution

The fourth proportional to 37,369, 56,047.36 and 15,181.48 is: 22,769.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,369 : 56,047.36 = 15,181.48 : x
  2. Step 2: Convert to fraction form
    37,369/56,047.36 = 15,181.48/x
  3. Step 3: Cross multiply
    37,369x = 56,047.36 × 15,181.48
  4. Step 4: Simplify right side
    37,369x = 850,881,874.89
  5. Step 5: Solve for x
    x = 850,881,874.89/37,369
  6. Step 6: Final answer
    x = 22,769.73

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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.