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Finding the Fourth Proportional to 49,806.54, 74,720.76 and 14,748.94

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Solution

The fourth proportional to 49,806.54, 74,720.76 and 14,748.94 is: 22,126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,806.54 : 74,720.76 = 14,748.94 : x
  2. Step 2: Convert to fraction form
    49,806.54/74,720.76 = 14,748.94/x
  3. Step 3: Cross multiply
    49,806.54x = 74,720.76 × 14,748.94
  4. Step 4: Simplify right side
    49,806.54x = 1,102,052,005.99
  5. Step 5: Solve for x
    x = 1,102,052,005.99/49,806.54
  6. Step 6: Final answer
    x = 22,126.65

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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.