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Finding the Fourth Proportional to 85,730.49, 128,575.08 and 33,106.41

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Solution

The fourth proportional to 85,730.49, 128,575.08 and 33,106.41 is: 49,651.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,730.49 : 128,575.08 = 33,106.41 : x
  2. Step 2: Convert to fraction form
    85,730.49/128,575.08 = 33,106.41/x
  3. Step 3: Cross multiply
    85,730.49x = 128,575.08 × 33,106.41
  4. Step 4: Simplify right side
    85,730.49x = 4,256,659,314.26
  5. Step 5: Solve for x
    x = 4,256,659,314.26/85,730.49
  6. Step 6: Final answer
    x = 49,651.64

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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.