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Finding the Fourth Proportional to 49,762.50, 74,644.02 and 12,826.50

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Solution

The fourth proportional to 49,762.50, 74,644.02 and 12,826.50 is: 19,239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,762.50 : 74,644.02 = 12,826.50 : x
  2. Step 2: Convert to fraction form
    49,762.50/74,644.02 = 12,826.50/x
  3. Step 3: Cross multiply
    49,762.50x = 74,644.02 × 12,826.50
  4. Step 4: Simplify right side
    49,762.50x = 957,421,522.53
  5. Step 5: Solve for x
    x = 957,421,522.53/49,762.50
  6. Step 6: Final answer
    x = 19,239.82

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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.