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Finding the Fourth Proportional to 36,271, 54,406.86 and 12,898.36

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Solution

The fourth proportional to 36,271, 54,406.86 and 12,898.36 is: 19,347.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,271 : 54,406.86 = 12,898.36 : x
  2. Step 2: Convert to fraction form
    36,271/54,406.86 = 12,898.36/x
  3. Step 3: Cross multiply
    36,271x = 54,406.86 × 12,898.36
  4. Step 4: Simplify right side
    36,271x = 701,759,266.75
  5. Step 5: Solve for x
    x = 701,759,266.75/36,271
  6. Step 6: Final answer
    x = 19,347.67

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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.