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Finding the Fourth Proportional to 37,804.46, 56,706.68 and 37,749.78

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Solution

The fourth proportional to 37,804.46, 56,706.68 and 37,749.78 is: 56,624.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,804.46 : 56,706.68 = 37,749.78 : x
  2. Step 2: Convert to fraction form
    37,804.46/56,706.68 = 37,749.78/x
  3. Step 3: Cross multiply
    37,804.46x = 56,706.68 × 37,749.78
  4. Step 4: Simplify right side
    37,804.46x = 2,140,664,788.90
  5. Step 5: Solve for x
    x = 2,140,664,788.90/37,804.46
  6. Step 6: Final answer
    x = 56,624.67

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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.