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Finding the Fourth Proportional to 37,671, 56,505.14 and 11,375.07

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Solution

The fourth proportional to 37,671, 56,505.14 and 11,375.07 is: 17,062.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,671 : 56,505.14 = 11,375.07 : x
  2. Step 2: Convert to fraction form
    37,671/56,505.14 = 11,375.07/x
  3. Step 3: Cross multiply
    37,671x = 56,505.14 × 11,375.07
  4. Step 4: Simplify right side
    37,671x = 642,749,865.98
  5. Step 5: Solve for x
    x = 642,749,865.98/37,671
  6. Step 6: Final answer
    x = 17,062.19

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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.