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Finding the Fourth Proportional to 32,135.84, 48,207.36 and 8,762.48

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Solution

The fourth proportional to 32,135.84, 48,207.36 and 8,762.48 is: 13,144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,135.84 : 48,207.36 = 8,762.48 : x
  2. Step 2: Convert to fraction form
    32,135.84/48,207.36 = 8,762.48/x
  3. Step 3: Cross multiply
    32,135.84x = 48,207.36 × 8,762.48
  4. Step 4: Simplify right side
    32,135.84x = 422,416,027.85
  5. Step 5: Solve for x
    x = 422,416,027.85/32,135.84
  6. Step 6: Final answer
    x = 13,144.70

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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.