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Finding the Fourth Proportional to 70,415.98, 105,641.30 and 20,496.54

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Solution

The fourth proportional to 70,415.98, 105,641.30 and 20,496.54 is: 30,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,415.98 : 105,641.30 = 20,496.54 : x
  2. Step 2: Convert to fraction form
    70,415.98/105,641.30 = 20,496.54/x
  3. Step 3: Cross multiply
    70,415.98x = 105,641.30 × 20,496.54
  4. Step 4: Simplify right side
    70,415.98x = 2,165,280,500.41
  5. Step 5: Solve for x
    x = 2,165,280,500.41/70,415.98
  6. Step 6: Final answer
    x = 30,749.85

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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.