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Finding the Fourth Proportional to 32,975.89, 49,463.85 and 23,158.99

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Solution

The fourth proportional to 32,975.89, 49,463.85 and 23,158.99 is: 34,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,975.89 : 49,463.85 = 23,158.99 : x
  2. Step 2: Convert to fraction form
    32,975.89/49,463.85 = 23,158.99/x
  3. Step 3: Cross multiply
    32,975.89x = 49,463.85 × 23,158.99
  4. Step 4: Simplify right side
    32,975.89x = 1,145,532,733.17
  5. Step 5: Solve for x
    x = 1,145,532,733.17/32,975.89
  6. Step 6: Final answer
    x = 34,738.50

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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.