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Finding the Fourth Proportional to 35,329.06, 48,755.19 and 19,414

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Solution

The fourth proportional to 35,329.06, 48,755.19 and 19,414 is: 26,791.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,329.06 : 48,755.19 = 19,414 : x
  2. Step 2: Convert to fraction form
    35,329.06/48,755.19 = 19,414/x
  3. Step 3: Cross multiply
    35,329.06x = 48,755.19 × 19,414
  4. Step 4: Simplify right side
    35,329.06x = 946,533,258.66
  5. Step 5: Solve for x
    x = 946,533,258.66/35,329.06
  6. Step 6: Final answer
    x = 26,791.92

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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.