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Finding the Fourth Proportional to 24,782.42, 37,179.48 and 8,142.50

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Solution

The fourth proportional to 24,782.42, 37,179.48 and 8,142.50 is: 12,215.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782.42 : 37,179.48 = 8,142.50 : x
  2. Step 2: Convert to fraction form
    24,782.42/37,179.48 = 8,142.50/x
  3. Step 3: Cross multiply
    24,782.42x = 37,179.48 × 8,142.50
  4. Step 4: Simplify right side
    24,782.42x = 302,733,915.90
  5. Step 5: Solve for x
    x = 302,733,915.90/24,782.42
  6. Step 6: Final answer
    x = 12,215.67

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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.