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Finding the Fourth Proportional to 97,806.86, 134,975.17 and 54,785.97

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Solution

The fourth proportional to 97,806.86, 134,975.17 and 54,785.97 is: 75,605.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,806.86 : 134,975.17 = 54,785.97 : x
  2. Step 2: Convert to fraction form
    97,806.86/134,975.17 = 54,785.97/x
  3. Step 3: Cross multiply
    97,806.86x = 134,975.17 × 54,785.97
  4. Step 4: Simplify right side
    97,806.86x = 7,394,746,088.77
  5. Step 5: Solve for x
    x = 7,394,746,088.77/97,806.86
  6. Step 6: Final answer
    x = 75,605.60

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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.