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Finding the Fourth Proportional to 32,021.14, 48,034.14 and 8,647.24

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Solution

The fourth proportional to 32,021.14, 48,034.14 and 8,647.24 is: 12,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,021.14 : 48,034.14 = 8,647.24 : x
  2. Step 2: Convert to fraction form
    32,021.14/48,034.14 = 8,647.24/x
  3. Step 3: Cross multiply
    32,021.14x = 48,034.14 × 8,647.24
  4. Step 4: Simplify right side
    32,021.14x = 415,362,736.77
  5. Step 5: Solve for x
    x = 415,362,736.77/32,021.14
  6. Step 6: Final answer
    x = 12,971.52

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1.5x scale

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.