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Finding the Fourth Proportional to 49,807.44, 74,709 and 12,366.63

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Solution

The fourth proportional to 49,807.44, 74,709 and 12,366.63 is: 18,549.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,807.44 : 74,709 = 12,366.63 : x
  2. Step 2: Convert to fraction form
    49,807.44/74,709 = 12,366.63/x
  3. Step 3: Cross multiply
    49,807.44x = 74,709 × 12,366.63
  4. Step 4: Simplify right side
    49,807.44x = 923,898,560.67
  5. Step 5: Solve for x
    x = 923,898,560.67/49,807.44
  6. Step 6: Final answer
    x = 18,549.41

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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.