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Finding the Fourth Proportional to 52,168.80, 78,077.52 and 47,852.64

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Solution

The fourth proportional to 52,168.80, 78,077.52 and 47,852.64 is: 71,617.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,168.80 : 78,077.52 = 47,852.64 : x
  2. Step 2: Convert to fraction form
    52,168.80/78,077.52 = 47,852.64/x
  3. Step 3: Cross multiply
    52,168.80x = 78,077.52 × 47,852.64
  4. Step 4: Simplify right side
    52,168.80x = 3,736,215,456.65
  5. Step 5: Solve for x
    x = 3,736,215,456.65/52,168.80
  6. Step 6: Final answer
    x = 71,617.81

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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.