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Finding the Fourth Proportional to 82,774.87, 114,221.41 and 46,467.99

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Solution

The fourth proportional to 82,774.87, 114,221.41 and 46,467.99 is: 64,121.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,774.87 : 114,221.41 = 46,467.99 : x
  2. Step 2: Convert to fraction form
    82,774.87/114,221.41 = 46,467.99/x
  3. Step 3: Cross multiply
    82,774.87x = 114,221.41 × 46,467.99
  4. Step 4: Simplify right side
    82,774.87x = 5,307,639,221.50
  5. Step 5: Solve for x
    x = 5,307,639,221.50/82,774.87
  6. Step 6: Final answer
    x = 64,121.39

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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.