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Finding the Fourth Proportional to 70,829.88, 106,205.50 and 32,837.64

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Solution

The fourth proportional to 70,829.88, 106,205.50 and 32,837.64 is: 49,238.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,829.88 : 106,205.50 = 32,837.64 : x
  2. Step 2: Convert to fraction form
    70,829.88/106,205.50 = 32,837.64/x
  3. Step 3: Cross multiply
    70,829.88x = 106,205.50 × 32,837.64
  4. Step 4: Simplify right side
    70,829.88x = 3,487,537,975.02
  5. Step 5: Solve for x
    x = 3,487,537,975.02/70,829.88
  6. Step 6: Final answer
    x = 49,238.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.