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Finding the Fourth Proportional to 71,338.94, 106,931.18 and 46,396.88

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Solution

The fourth proportional to 71,338.94, 106,931.18 and 46,396.88 is: 69,545.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,338.94 : 106,931.18 = 46,396.88 : x
  2. Step 2: Convert to fraction form
    71,338.94/106,931.18 = 46,396.88/x
  3. Step 3: Cross multiply
    71,338.94x = 106,931.18 × 46,396.88
  4. Step 4: Simplify right side
    71,338.94x = 4,961,273,126.72
  5. Step 5: Solve for x
    x = 4,961,273,126.72/71,338.94
  6. Step 6: Final answer
    x = 69,545.09

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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.