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Finding the Fourth Proportional to 32,980.50, 49,289.67 and 24,114.50

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Solution

The fourth proportional to 32,980.50, 49,289.67 and 24,114.50 is: 36,039.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,980.50 : 49,289.67 = 24,114.50 : x
  2. Step 2: Convert to fraction form
    32,980.50/49,289.67 = 24,114.50/x
  3. Step 3: Cross multiply
    32,980.50x = 49,289.67 × 24,114.50
  4. Step 4: Simplify right side
    32,980.50x = 1,188,595,747.22
  5. Step 5: Solve for x
    x = 1,188,595,747.22/32,980.50
  6. Step 6: Final answer
    x = 36,039.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.