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Finding the Fourth Proportional to 39,756, 59,622.10 and 13,097.06

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Solution

The fourth proportional to 39,756, 59,622.10 and 13,097.06 is: 19,641.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,756 : 59,622.10 = 13,097.06 : x
  2. Step 2: Convert to fraction form
    39,756/59,622.10 = 13,097.06/x
  3. Step 3: Cross multiply
    39,756x = 59,622.10 × 13,097.06
  4. Step 4: Simplify right side
    39,756x = 780,874,221.03
  5. Step 5: Solve for x
    x = 780,874,221.03/39,756
  6. Step 6: Final answer
    x = 19,641.67

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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.