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Finding the Fourth Proportional to 71,077.41, 106,680.60 and 37,825.47

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Solution

The fourth proportional to 71,077.41, 106,680.60 and 37,825.47 is: 56,772.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,077.41 : 106,680.60 = 37,825.47 : x
  2. Step 2: Convert to fraction form
    71,077.41/106,680.60 = 37,825.47/x
  3. Step 3: Cross multiply
    71,077.41x = 106,680.60 × 37,825.47
  4. Step 4: Simplify right side
    71,077.41x = 4,035,243,834.88
  5. Step 5: Solve for x
    x = 4,035,243,834.88/71,077.41
  6. Step 6: Final answer
    x = 56,772.52

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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.