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Finding the Fourth Proportional to 46,227.96, 69,334.38 and 21,267

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Solution

The fourth proportional to 46,227.96, 69,334.38 and 21,267 is: 31,897.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,227.96 : 69,334.38 = 21,267 : x
  2. Step 2: Convert to fraction form
    46,227.96/69,334.38 = 21,267/x
  3. Step 3: Cross multiply
    46,227.96x = 69,334.38 × 21,267
  4. Step 4: Simplify right side
    46,227.96x = 1,474,534,259.46
  5. Step 5: Solve for x
    x = 1,474,534,259.46/46,227.96
  6. Step 6: Final answer
    x = 31,897.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.