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Finding the Fourth Proportional to 35,704.35, 49,296.06 and 31,915.40

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Solution

The fourth proportional to 35,704.35, 49,296.06 and 31,915.40 is: 44,064.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,704.35 : 49,296.06 = 31,915.40 : x
  2. Step 2: Convert to fraction form
    35,704.35/49,296.06 = 31,915.40/x
  3. Step 3: Cross multiply
    35,704.35x = 49,296.06 × 31,915.40
  4. Step 4: Simplify right side
    35,704.35x = 1,573,303,226.84
  5. Step 5: Solve for x
    x = 1,573,303,226.84/35,704.35
  6. Step 6: Final answer
    x = 44,064.75

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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.