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Finding the Fourth Proportional to 100,651.36, 150,977.58 and 30,530.74

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Solution

The fourth proportional to 100,651.36, 150,977.58 and 30,530.74 is: 45,796.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,651.36 : 150,977.58 = 30,530.74 : x
  2. Step 2: Convert to fraction form
    100,651.36/150,977.58 = 30,530.74/x
  3. Step 3: Cross multiply
    100,651.36x = 150,977.58 × 30,530.74
  4. Step 4: Simplify right side
    100,651.36x = 4,609,457,240.81
  5. Step 5: Solve for x
    x = 4,609,457,240.81/100,651.36
  6. Step 6: Final answer
    x = 45,796.27

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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.