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Finding the Fourth Proportional to 46,227, 69,340.51 and 11,166.66

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Solution

The fourth proportional to 46,227, 69,340.51 and 11,166.66 is: 16,749.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,227 : 69,340.51 = 11,166.66 : x
  2. Step 2: Convert to fraction form
    46,227/69,340.51 = 11,166.66/x
  3. Step 3: Cross multiply
    46,227x = 69,340.51 × 11,166.66
  4. Step 4: Simplify right side
    46,227x = 774,301,899.40
  5. Step 5: Solve for x
    x = 774,301,899.40/46,227
  6. Step 6: Final answer
    x = 16,749.99

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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.