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Finding the Fourth Proportional to 35,704.74, 49,275.46 and 19,794.32

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Solution

The fourth proportional to 35,704.74, 49,275.46 and 19,794.32 is: 27,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,704.74 : 49,275.46 = 19,794.32 : x
  2. Step 2: Convert to fraction form
    35,704.74/49,275.46 = 19,794.32/x
  3. Step 3: Cross multiply
    35,704.74x = 49,275.46 × 19,794.32
  4. Step 4: Simplify right side
    35,704.74x = 975,374,223.39
  5. Step 5: Solve for x
    x = 975,374,223.39/35,704.74
  6. Step 6: Final answer
    x = 27,317.78

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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.