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Finding the Fourth Proportional to 71,203.96, 106,870.14 and 37,951.72

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Solution

The fourth proportional to 71,203.96, 106,870.14 and 37,951.72 is: 56,961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,203.96 : 106,870.14 = 37,951.72 : x
  2. Step 2: Convert to fraction form
    71,203.96/106,870.14 = 37,951.72/x
  3. Step 3: Cross multiply
    71,203.96x = 106,870.14 × 37,951.72
  4. Step 4: Simplify right side
    71,203.96x = 4,055,905,629.64
  5. Step 5: Solve for x
    x = 4,055,905,629.64/71,203.96
  6. Step 6: Final answer
    x = 56,961.80

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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.