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Finding the Fourth Proportional to 51,289.40, 76,926.40 and 16,224.50

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Solution

The fourth proportional to 51,289.40, 76,926.40 and 16,224.50 is: 24,334.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,289.40 : 76,926.40 = 16,224.50 : x
  2. Step 2: Convert to fraction form
    51,289.40/76,926.40 = 16,224.50/x
  3. Step 3: Cross multiply
    51,289.40x = 76,926.40 × 16,224.50
  4. Step 4: Simplify right side
    51,289.40x = 1,248,092,376.80
  5. Step 5: Solve for x
    x = 1,248,092,376.80/51,289.40
  6. Step 6: Final answer
    x = 24,334.31

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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.