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Finding the Fourth Proportional to 82,630.66, 123,941.64 and 48,455.44

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Solution

The fourth proportional to 82,630.66, 123,941.64 and 48,455.44 is: 72,680.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,630.66 : 123,941.64 = 48,455.44 : x
  2. Step 2: Convert to fraction form
    82,630.66/123,941.64 = 48,455.44/x
  3. Step 3: Cross multiply
    82,630.66x = 123,941.64 × 48,455.44
  4. Step 4: Simplify right side
    82,630.66x = 6,005,646,700.52
  5. Step 5: Solve for x
    x = 6,005,646,700.52/82,630.66
  6. Step 6: Final answer
    x = 72,680.61

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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.