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Finding the Fourth Proportional to 70,284.75, 105,427.23 and 28,731.75

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Solution

The fourth proportional to 70,284.75, 105,427.23 and 28,731.75 is: 43,097.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,284.75 : 105,427.23 = 28,731.75 : x
  2. Step 2: Convert to fraction form
    70,284.75/105,427.23 = 28,731.75/x
  3. Step 3: Cross multiply
    70,284.75x = 105,427.23 × 28,731.75
  4. Step 4: Simplify right side
    70,284.75x = 3,029,108,815.55
  5. Step 5: Solve for x
    x = 3,029,108,815.55/70,284.75
  6. Step 6: Final answer
    x = 43,097.67

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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.