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Finding the Fourth Proportional to 35,802.64, 49,408.32 and 19,888.56

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Solution

The fourth proportional to 35,802.64, 49,408.32 and 19,888.56 is: 27,446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,802.64 : 49,408.32 = 19,888.56 : x
  2. Step 2: Convert to fraction form
    35,802.64/49,408.32 = 19,888.56/x
  3. Step 3: Cross multiply
    35,802.64x = 49,408.32 × 19,888.56
  4. Step 4: Simplify right side
    35,802.64x = 982,660,336.82
  5. Step 5: Solve for x
    x = 982,660,336.82/35,802.64
  6. Step 6: Final answer
    x = 27,446.59

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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.