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Finding the Fourth Proportional to 70,529.70, 105,794.92 and 23,782.98

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Solution

The fourth proportional to 70,529.70, 105,794.92 and 23,782.98 is: 35,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,529.70 : 105,794.92 = 23,782.98 : x
  2. Step 2: Convert to fraction form
    70,529.70/105,794.92 = 23,782.98/x
  3. Step 3: Cross multiply
    70,529.70x = 105,794.92 × 23,782.98
  4. Step 4: Simplify right side
    70,529.70x = 2,516,118,466.46
  5. Step 5: Solve for x
    x = 2,516,118,466.46/70,529.70
  6. Step 6: Final answer
    x = 35,674.59

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1.5x scale

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.