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Finding the Fourth Proportional to 35,825.96, 49,437.54 and 19,909.46

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Solution

The fourth proportional to 35,825.96, 49,437.54 and 19,909.46 is: 27,473.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,825.96 : 49,437.54 = 19,909.46 : x
  2. Step 2: Convert to fraction form
    35,825.96/49,437.54 = 19,909.46/x
  3. Step 3: Cross multiply
    35,825.96x = 49,437.54 × 19,909.46
  4. Step 4: Simplify right side
    35,825.96x = 984,274,725.13
  5. Step 5: Solve for x
    x = 984,274,725.13/35,825.96
  6. Step 6: Final answer
    x = 27,473.79

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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.