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Finding the Fourth Proportional to 32,774.86, 49,157.43 and 11,993.50

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Solution

The fourth proportional to 32,774.86, 49,157.43 and 11,993.50 is: 17,988.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,774.86 : 49,157.43 = 11,993.50 : x
  2. Step 2: Convert to fraction form
    32,774.86/49,157.43 = 11,993.50/x
  3. Step 3: Cross multiply
    32,774.86x = 49,157.43 × 11,993.50
  4. Step 4: Simplify right side
    32,774.86x = 589,569,636.71
  5. Step 5: Solve for x
    x = 589,569,636.71/32,774.86
  6. Step 6: Final answer
    x = 17,988.47

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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.