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Finding the Fourth Proportional to 71,146.36, 106,784.34 and 37,894.24

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Solution

The fourth proportional to 71,146.36, 106,784.34 and 37,894.24 is: 56,875.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,146.36 : 106,784.34 = 37,894.24 : x
  2. Step 2: Convert to fraction form
    71,146.36/106,784.34 = 37,894.24/x
  3. Step 3: Cross multiply
    71,146.36x = 106,784.34 × 37,894.24
  4. Step 4: Simplify right side
    71,146.36x = 4,046,511,408.20
  5. Step 5: Solve for x
    x = 4,046,511,408.20/71,146.36
  6. Step 6: Final answer
    x = 56,875.87

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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.