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Finding the Fourth Proportional to 32,783.00, 49,137.27 and 28,826.60

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Solution

The fourth proportional to 32,783.00, 49,137.27 and 28,826.60 is: 43,207.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,783.00 : 49,137.27 = 28,826.60 : x
  2. Step 2: Convert to fraction form
    32,783.00/49,137.27 = 28,826.60/x
  3. Step 3: Cross multiply
    32,783.00x = 49,137.27 × 28,826.60
  4. Step 4: Simplify right side
    32,783.00x = 1,416,460,181.70
  5. Step 5: Solve for x
    x = 1,416,460,181.70/32,783.00
  6. Step 6: Final answer
    x = 43,207.16

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Why These Related Problems?

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