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Finding the Fourth Proportional to 52,970.88, 73,078.92 and 34,118.94

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Solution

The fourth proportional to 52,970.88, 73,078.92 and 34,118.94 is: 47,070.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,970.88 : 73,078.92 = 34,118.94 : x
  2. Step 2: Convert to fraction form
    52,970.88/73,078.92 = 34,118.94/x
  3. Step 3: Cross multiply
    52,970.88x = 73,078.92 × 34,118.94
  4. Step 4: Simplify right side
    52,970.88x = 2,493,375,286.74
  5. Step 5: Solve for x
    x = 2,493,375,286.74/52,970.88
  6. Step 6: Final answer
    x = 47,070.68

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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.