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Finding the Fourth Proportional to 123,596.50, 185,284.80 and 44,693.20

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Solution

The fourth proportional to 123,596.50, 185,284.80 and 44,693.20 is: 67,000.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,596.50 : 185,284.80 = 44,693.20 : x
  2. Step 2: Convert to fraction form
    123,596.50/185,284.80 = 44,693.20/x
  3. Step 3: Cross multiply
    123,596.50x = 185,284.80 × 44,693.20
  4. Step 4: Simplify right side
    123,596.50x = 8,280,970,623.36
  5. Step 5: Solve for x
    x = 8,280,970,623.36/123,596.50
  6. Step 6: Final answer
    x = 67,000.04

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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.