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Finding the Fourth Proportional to 32,694.86, 48,980.38 and 19,327.83

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Solution

The fourth proportional to 32,694.86, 48,980.38 and 19,327.83 is: 28,955.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,694.86 : 48,980.38 = 19,327.83 : x
  2. Step 2: Convert to fraction form
    32,694.86/48,980.38 = 19,327.83/x
  3. Step 3: Cross multiply
    32,694.86x = 48,980.38 × 19,327.83
  4. Step 4: Simplify right side
    32,694.86x = 946,684,457.98
  5. Step 5: Solve for x
    x = 946,684,457.98/32,694.86
  6. Step 6: Final answer
    x = 28,955.15

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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.