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Finding the Fourth Proportional to 35,097.94, 48,434.71 and 19,182.25

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Solution

The fourth proportional to 35,097.94, 48,434.71 and 19,182.25 is: 26,471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,097.94 : 48,434.71 = 19,182.25 : x
  2. Step 2: Convert to fraction form
    35,097.94/48,434.71 = 19,182.25/x
  3. Step 3: Cross multiply
    35,097.94x = 48,434.71 × 19,182.25
  4. Step 4: Simplify right side
    35,097.94x = 929,086,377.81
  5. Step 5: Solve for x
    x = 929,086,377.81/35,097.94
  6. Step 6: Final answer
    x = 26,471.25

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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.