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Finding the Fourth Proportional to 46,229.50, 69,335.02 and 14,634.17

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Solution

The fourth proportional to 46,229.50, 69,335.02 and 14,634.17 is: 21,948.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,229.50 : 69,335.02 = 14,634.17 : x
  2. Step 2: Convert to fraction form
    46,229.50/69,335.02 = 14,634.17/x
  3. Step 3: Cross multiply
    46,229.50x = 69,335.02 × 14,634.17
  4. Step 4: Simplify right side
    46,229.50x = 1,014,660,401.26
  5. Step 5: Solve for x
    x = 1,014,660,401.26/46,229.50
  6. Step 6: Final answer
    x = 21,948.33

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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.