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Finding the Fourth Proportional to 35,845, 49,465.48 and 19,927.40

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Solution

The fourth proportional to 35,845, 49,465.48 and 19,927.40 is: 27,499.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,845 : 49,465.48 = 19,927.40 : x
  2. Step 2: Convert to fraction form
    35,845/49,465.48 = 19,927.40/x
  3. Step 3: Cross multiply
    35,845x = 49,465.48 × 19,927.40
  4. Step 4: Simplify right side
    35,845x = 985,718,406.15
  5. Step 5: Solve for x
    x = 985,718,406.15/35,845
  6. Step 6: Final answer
    x = 27,499.47

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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.