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Finding the Fourth Proportional to 37,181.50, 51,354.21 and 25,224.08

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Solution

The fourth proportional to 37,181.50, 51,354.21 and 25,224.08 is: 34,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,181.50 : 51,354.21 = 25,224.08 : x
  2. Step 2: Convert to fraction form
    37,181.50/51,354.21 = 25,224.08/x
  3. Step 3: Cross multiply
    37,181.50x = 51,354.21 × 25,224.08
  4. Step 4: Simplify right side
    37,181.50x = 1,295,362,701.38
  5. Step 5: Solve for x
    x = 1,295,362,701.38/37,181.50
  6. Step 6: Final answer
    x = 34,838.90

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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.