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Finding the Fourth Proportional to 32,186.80, 48,301.80 and 19,025.20

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Solution

The fourth proportional to 32,186.80, 48,301.80 and 19,025.20 is: 28,550.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,186.80 : 48,301.80 = 19,025.20 : x
  2. Step 2: Convert to fraction form
    32,186.80/48,301.80 = 19,025.20/x
  3. Step 3: Cross multiply
    32,186.80x = 48,301.80 × 19,025.20
  4. Step 4: Simplify right side
    32,186.80x = 918,951,405.36
  5. Step 5: Solve for x
    x = 918,951,405.36/32,186.80
  6. Step 6: Final answer
    x = 28,550.57

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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.