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Finding the Fourth Proportional to 37,496.30, 56,245.47 and 16,425.50

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Solution

The fourth proportional to 37,496.30, 56,245.47 and 16,425.50 is: 24,638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,496.30 : 56,245.47 = 16,425.50 : x
  2. Step 2: Convert to fraction form
    37,496.30/56,245.47 = 16,425.50/x
  3. Step 3: Cross multiply
    37,496.30x = 56,245.47 × 16,425.50
  4. Step 4: Simplify right side
    37,496.30x = 923,859,885.36
  5. Step 5: Solve for x
    x = 923,859,885.36/37,496.30
  6. Step 6: Final answer
    x = 24,638.69

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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.