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Finding the Fourth Proportional to 47,006.70, 64,869.22 and 25,786

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Solution

The fourth proportional to 47,006.70, 64,869.22 and 25,786 is: 35,584.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,006.70 : 64,869.22 = 25,786 : x
  2. Step 2: Convert to fraction form
    47,006.70/64,869.22 = 25,786/x
  3. Step 3: Cross multiply
    47,006.70x = 64,869.22 × 25,786
  4. Step 4: Simplify right side
    47,006.70x = 1,672,717,706.92
  5. Step 5: Solve for x
    x = 1,672,717,706.92/47,006.70
  6. Step 6: Final answer
    x = 35,584.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.