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Finding the Fourth Proportional to 51,057.90, 76,586.88 and 16,000.32

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Solution

The fourth proportional to 51,057.90, 76,586.88 and 16,000.32 is: 24,000.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,057.90 : 76,586.88 = 16,000.32 : x
  2. Step 2: Convert to fraction form
    51,057.90/76,586.88 = 16,000.32/x
  3. Step 3: Cross multiply
    51,057.90x = 76,586.88 × 16,000.32
  4. Step 4: Simplify right side
    51,057.90x = 1,225,414,587.80
  5. Step 5: Solve for x
    x = 1,225,414,587.80/51,057.90
  6. Step 6: Final answer
    x = 24,000.49

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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.