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Finding the Fourth Proportional to 52,978.58, 73,117.44 and 34,170.38

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Solution

The fourth proportional to 52,978.58, 73,117.44 and 34,170.38 is: 47,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,978.58 : 73,117.44 = 34,170.38 : x
  2. Step 2: Convert to fraction form
    52,978.58/73,117.44 = 34,170.38/x
  3. Step 3: Cross multiply
    52,978.58x = 73,117.44 × 34,170.38
  4. Step 4: Simplify right side
    52,978.58x = 2,498,450,709.43
  5. Step 5: Solve for x
    x = 2,498,450,709.43/52,978.58
  6. Step 6: Final answer
    x = 47,159.64

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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.