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Finding the Fourth Proportional to 35,653.74, 49,202.55 and 19,738.46

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Solution

The fourth proportional to 35,653.74, 49,202.55 and 19,738.46 is: 27,239.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,653.74 : 49,202.55 = 19,738.46 : x
  2. Step 2: Convert to fraction form
    35,653.74/49,202.55 = 19,738.46/x
  3. Step 3: Cross multiply
    35,653.74x = 49,202.55 × 19,738.46
  4. Step 4: Simplify right side
    35,653.74x = 971,182,319.06
  5. Step 5: Solve for x
    x = 971,182,319.06/35,653.74
  6. Step 6: Final answer
    x = 27,239.28

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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.