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Finding the Fourth Proportional to 49,538.63, 74,306.97 and 12,097.60

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Solution

The fourth proportional to 49,538.63, 74,306.97 and 12,097.60 is: 18,146.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,538.63 : 74,306.97 = 12,097.60 : x
  2. Step 2: Convert to fraction form
    49,538.63/74,306.97 = 12,097.60/x
  3. Step 3: Cross multiply
    49,538.63x = 74,306.97 × 12,097.60
  4. Step 4: Simplify right side
    49,538.63x = 898,935,814.50
  5. Step 5: Solve for x
    x = 898,935,814.50/49,538.63
  6. Step 6: Final answer
    x = 18,146.16

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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.