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Finding the Fourth Proportional to 42,706.10, 64,098.21 and 21,660.67

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Solution

The fourth proportional to 42,706.10, 64,098.21 and 21,660.67 is: 32,510.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,706.10 : 64,098.21 = 21,660.67 : x
  2. Step 2: Convert to fraction form
    42,706.10/64,098.21 = 21,660.67/x
  3. Step 3: Cross multiply
    42,706.10x = 64,098.21 × 21,660.67
  4. Step 4: Simplify right side
    42,706.10x = 1,388,409,745.61
  5. Step 5: Solve for x
    x = 1,388,409,745.61/42,706.10
  6. Step 6: Final answer
    x = 32,510.81

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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.