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Finding the Fourth Proportional to 49,545, 74,325.24 and 16,257.50

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Solution

The fourth proportional to 49,545, 74,325.24 and 16,257.50 is: 24,388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,545 : 74,325.24 = 16,257.50 : x
  2. Step 2: Convert to fraction form
    49,545/74,325.24 = 16,257.50/x
  3. Step 3: Cross multiply
    49,545x = 74,325.24 × 16,257.50
  4. Step 4: Simplify right side
    49,545x = 1,208,342,217.67
  5. Step 5: Solve for x
    x = 1,208,342,217.67/49,545
  6. Step 6: Final answer
    x = 24,388.78

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1.5x scale

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.