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Finding the Fourth Proportional to 32,135.50, 48,203.88 and 8,762.55

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Solution

The fourth proportional to 32,135.50, 48,203.88 and 8,762.55 is: 13,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,135.50 : 48,203.88 = 8,762.55 : x
  2. Step 2: Convert to fraction form
    32,135.50/48,203.88 = 8,762.55/x
  3. Step 3: Cross multiply
    32,135.50x = 48,203.88 × 8,762.55
  4. Step 4: Simplify right side
    32,135.50x = 422,388,908.69
  5. Step 5: Solve for x
    x = 422,388,908.69/32,135.50
  6. Step 6: Final answer
    x = 13,144.00

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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.