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Finding the Fourth Proportional to 52,458.30, 78,599.97 and 36,847.98

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Solution

The fourth proportional to 52,458.30, 78,599.97 and 36,847.98 is: 55,210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,458.30 : 78,599.97 = 36,847.98 : x
  2. Step 2: Convert to fraction form
    52,458.30/78,599.97 = 36,847.98/x
  3. Step 3: Cross multiply
    52,458.30x = 78,599.97 × 36,847.98
  4. Step 4: Simplify right side
    52,458.30x = 2,896,250,122.56
  5. Step 5: Solve for x
    x = 2,896,250,122.56/52,458.30
  6. Step 6: Final answer
    x = 55,210.52

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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.