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Finding the Fourth Proportional to 47,612.58, 71,454.69 and 32,583.69

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Solution

The fourth proportional to 47,612.58, 71,454.69 and 32,583.69 is: 48,900.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,612.58 : 71,454.69 = 32,583.69 : x
  2. Step 2: Convert to fraction form
    47,612.58/71,454.69 = 32,583.69/x
  3. Step 3: Cross multiply
    47,612.58x = 71,454.69 × 32,583.69
  4. Step 4: Simplify right side
    47,612.58x = 2,328,257,468.01
  5. Step 5: Solve for x
    x = 2,328,257,468.01/47,612.58
  6. Step 6: Final answer
    x = 48,900.05

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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.