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Finding the Fourth Proportional to 97,641.38, 134,738.74 and 54,613.41

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Solution

The fourth proportional to 97,641.38, 134,738.74 and 54,613.41 is: 75,362.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,641.38 : 134,738.74 = 54,613.41 : x
  2. Step 2: Convert to fraction form
    97,641.38/134,738.74 = 54,613.41/x
  3. Step 3: Cross multiply
    97,641.38x = 134,738.74 × 54,613.41
  4. Step 4: Simplify right side
    97,641.38x = 7,358,541,777.44
  5. Step 5: Solve for x
    x = 7,358,541,777.44/97,641.38
  6. Step 6: Final answer
    x = 75,362.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.