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Finding the Fourth Proportional to 29,941.46, 41,323.06 and 24,897

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Solution

The fourth proportional to 29,941.46, 41,323.06 and 24,897 is: 34,361.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,941.46 : 41,323.06 = 24,897 : x
  2. Step 2: Convert to fraction form
    29,941.46/41,323.06 = 24,897/x
  3. Step 3: Cross multiply
    29,941.46x = 41,323.06 × 24,897
  4. Step 4: Simplify right side
    29,941.46x = 1,028,820,224.82
  5. Step 5: Solve for x
    x = 1,028,820,224.82/29,941.46
  6. Step 6: Final answer
    x = 34,361.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.