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Finding the Fourth Proportional to 40,715.19, 61,000.29 and 24,912.50

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Solution

The fourth proportional to 40,715.19, 61,000.29 and 24,912.50 is: 37,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,715.19 : 61,000.29 = 24,912.50 : x
  2. Step 2: Convert to fraction form
    40,715.19/61,000.29 = 24,912.50/x
  3. Step 3: Cross multiply
    40,715.19x = 61,000.29 × 24,912.50
  4. Step 4: Simplify right side
    40,715.19x = 1,519,669,419.62
  5. Step 5: Solve for x
    x = 1,519,669,419.62/40,715.19
  6. Step 6: Final answer
    x = 37,324.38

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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.