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Finding the Fourth Proportional to 37,245.87, 51,385.01 and 27,578.34

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Solution

The fourth proportional to 37,245.87, 51,385.01 and 27,578.34 is: 38,047.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,245.87 : 51,385.01 = 27,578.34 : x
  2. Step 2: Convert to fraction form
    37,245.87/51,385.01 = 27,578.34/x
  3. Step 3: Cross multiply
    37,245.87x = 51,385.01 × 27,578.34
  4. Step 4: Simplify right side
    37,245.87x = 1,417,113,138.79
  5. Step 5: Solve for x
    x = 1,417,113,138.79/37,245.87
  6. Step 6: Final answer
    x = 38,047.52

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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.