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Finding the Fourth Proportional to 32,981.50, 49,291.16 and 24,115.50

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Solution

The fourth proportional to 32,981.50, 49,291.16 and 24,115.50 is: 36,040.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,981.50 : 49,291.16 = 24,115.50 : x
  2. Step 2: Convert to fraction form
    32,981.50/49,291.16 = 24,115.50/x
  3. Step 3: Cross multiply
    32,981.50x = 49,291.16 × 24,115.50
  4. Step 4: Simplify right side
    32,981.50x = 1,188,680,968.98
  5. Step 5: Solve for x
    x = 1,188,680,968.98/32,981.50
  6. Step 6: Final answer
    x = 36,040.84

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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.