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Finding the Fourth Proportional to 97,651.95, 134,772.11 and 54,633.83

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Solution

The fourth proportional to 97,651.95, 134,772.11 and 54,633.83 is: 75,401.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,651.95 : 134,772.11 = 54,633.83 : x
  2. Step 2: Convert to fraction form
    97,651.95/134,772.11 = 54,633.83/x
  3. Step 3: Cross multiply
    97,651.95x = 134,772.11 × 54,633.83
  4. Step 4: Simplify right side
    97,651.95x = 7,363,115,599.45
  5. Step 5: Solve for x
    x = 7,363,115,599.45/97,651.95
  6. Step 6: Final answer
    x = 75,401.62

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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.