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Finding the Fourth Proportional to 97,794.96, 134,929.85 and 55,352.58

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Solution

The fourth proportional to 97,794.96, 134,929.85 and 55,352.58 is: 76,371.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,794.96 : 134,929.85 = 55,352.58 : x
  2. Step 2: Convert to fraction form
    97,794.96/134,929.85 = 55,352.58/x
  3. Step 3: Cross multiply
    97,794.96x = 134,929.85 × 55,352.58
  4. Step 4: Simplify right side
    97,794.96x = 7,468,715,039.75
  5. Step 5: Solve for x
    x = 7,468,715,039.75/97,794.96
  6. Step 6: Final answer
    x = 76,371.17

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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.