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Finding the Fourth Proportional to 70,313.44, 105,511.74 and 25,971.52

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Solution

The fourth proportional to 70,313.44, 105,511.74 and 25,971.52 is: 38,972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,313.44 : 105,511.74 = 25,971.52 : x
  2. Step 2: Convert to fraction form
    70,313.44/105,511.74 = 25,971.52/x
  3. Step 3: Cross multiply
    70,313.44x = 105,511.74 × 25,971.52
  4. Step 4: Simplify right side
    70,313.44x = 2,740,300,265.64
  5. Step 5: Solve for x
    x = 2,740,300,265.64/70,313.44
  6. Step 6: Final answer
    x = 38,972.64

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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.