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Finding the Fourth Proportional to 32,024.88, 48,034.08 and 8,648.64

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Solution

The fourth proportional to 32,024.88, 48,034.08 and 8,648.64 is: 12,972.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,024.88 : 48,034.08 = 8,648.64 : x
  2. Step 2: Convert to fraction form
    32,024.88/48,034.08 = 8,648.64/x
  3. Step 3: Cross multiply
    32,024.88x = 48,034.08 × 8,648.64
  4. Step 4: Simplify right side
    32,024.88x = 415,429,465.65
  5. Step 5: Solve for x
    x = 415,429,465.65/32,024.88
  6. Step 6: Final answer
    x = 12,972.09

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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.