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Finding the Fourth Proportional to 35,645.64, 49,188.84 and 19,729.14

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Solution

The fourth proportional to 35,645.64, 49,188.84 and 19,729.14 is: 27,225.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,645.64 : 49,188.84 = 19,729.14 : x
  2. Step 2: Convert to fraction form
    35,645.64/49,188.84 = 19,729.14/x
  3. Step 3: Cross multiply
    35,645.64x = 49,188.84 × 19,729.14
  4. Step 4: Simplify right side
    35,645.64x = 970,453,510.80
  5. Step 5: Solve for x
    x = 970,453,510.80/35,645.64
  6. Step 6: Final answer
    x = 27,225.03

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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.