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Finding the Fourth Proportional to 35,741.31, 49,320.66 and 19,825.21

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Solution

The fourth proportional to 35,741.31, 49,320.66 and 19,825.21 is: 27,357.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,741.31 : 49,320.66 = 19,825.21 : x
  2. Step 2: Convert to fraction form
    35,741.31/49,320.66 = 19,825.21/x
  3. Step 3: Cross multiply
    35,741.31x = 49,320.66 × 19,825.21
  4. Step 4: Simplify right side
    35,741.31x = 977,792,441.84
  5. Step 5: Solve for x
    x = 977,792,441.84/35,741.31
  6. Step 6: Final answer
    x = 27,357.49

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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.