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Finding the Fourth Proportional to 49,813.81, 74,731.64 and 14,756.20

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Solution

The fourth proportional to 49,813.81, 74,731.64 and 14,756.20 is: 22,137.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,813.81 : 74,731.64 = 14,756.20 : x
  2. Step 2: Convert to fraction form
    49,813.81/74,731.64 = 14,756.20/x
  3. Step 3: Cross multiply
    49,813.81x = 74,731.64 × 14,756.20
  4. Step 4: Simplify right side
    49,813.81x = 1,102,754,765.56
  5. Step 5: Solve for x
    x = 1,102,754,765.56/49,813.81
  6. Step 6: Final answer
    x = 22,137.53

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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.