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Finding the Fourth Proportional to 48,113.70, 72,142.75 and 14,824.82

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Solution

The fourth proportional to 48,113.70, 72,142.75 and 14,824.82 is: 22,228.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,113.70 : 72,142.75 = 14,824.82 : x
  2. Step 2: Convert to fraction form
    48,113.70/72,142.75 = 14,824.82/x
  3. Step 3: Cross multiply
    48,113.70x = 72,142.75 × 14,824.82
  4. Step 4: Simplify right side
    48,113.70x = 1,069,503,481.94
  5. Step 5: Solve for x
    x = 1,069,503,481.94/48,113.70
  6. Step 6: Final answer
    x = 22,228.67

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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.