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Finding the Fourth Proportional to 32,647.19, 48,942.08 and 12,939.59

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Solution

The fourth proportional to 32,647.19, 48,942.08 and 12,939.59 is: 19,398.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,647.19 : 48,942.08 = 12,939.59 : x
  2. Step 2: Convert to fraction form
    32,647.19/48,942.08 = 12,939.59/x
  3. Step 3: Cross multiply
    32,647.19x = 48,942.08 × 12,939.59
  4. Step 4: Simplify right side
    32,647.19x = 633,290,139.54
  5. Step 5: Solve for x
    x = 633,290,139.54/32,647.19
  6. Step 6: Final answer
    x = 19,398.00

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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.