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Finding the Fourth Proportional to 35,471.40, 48,941.70 and 22,881

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Solution

The fourth proportional to 35,471.40, 48,941.70 and 22,881 is: 31,570.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,471.40 : 48,941.70 = 22,881 : x
  2. Step 2: Convert to fraction form
    35,471.40/48,941.70 = 22,881/x
  3. Step 3: Cross multiply
    35,471.40x = 48,941.70 × 22,881
  4. Step 4: Simplify right side
    35,471.40x = 1,119,835,037.70
  5. Step 5: Solve for x
    x = 1,119,835,037.70/35,471.40
  6. Step 6: Final answer
    x = 31,570.08

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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.