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Finding the Fourth Proportional to 76,064.85, 104,934.57 and 49,216.11

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Solution

The fourth proportional to 76,064.85, 104,934.57 and 49,216.11 is: 67,895.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,064.85 : 104,934.57 = 49,216.11 : x
  2. Step 2: Convert to fraction form
    76,064.85/104,934.57 = 49,216.11/x
  3. Step 3: Cross multiply
    76,064.85x = 104,934.57 × 49,216.11
  4. Step 4: Simplify right side
    76,064.85x = 5,164,471,339.92
  5. Step 5: Solve for x
    x = 5,164,471,339.92/76,064.85
  6. Step 6: Final answer
    x = 67,895.64

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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.