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Finding the Fourth Proportional to 35,643.09, 49,188.24 and 19,728.63

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Solution

The fourth proportional to 35,643.09, 49,188.24 and 19,728.63 is: 27,225.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,643.09 : 49,188.24 = 19,728.63 : x
  2. Step 2: Convert to fraction form
    35,643.09/49,188.24 = 19,728.63/x
  3. Step 3: Cross multiply
    35,643.09x = 49,188.24 × 19,728.63
  4. Step 4: Simplify right side
    35,643.09x = 970,416,587.31
  5. Step 5: Solve for x
    x = 970,416,587.31/35,643.09
  6. Step 6: Final answer
    x = 27,225.94

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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.