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Finding the Fourth Proportional to 100,527.32, 150,798.18 and 30,412.10

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Solution

The fourth proportional to 100,527.32, 150,798.18 and 30,412.10 is: 45,620.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,527.32 : 150,798.18 = 30,412.10 : x
  2. Step 2: Convert to fraction form
    100,527.32/150,798.18 = 30,412.10/x
  3. Step 3: Cross multiply
    100,527.32x = 150,798.18 × 30,412.10
  4. Step 4: Simplify right side
    100,527.32x = 4,586,089,329.98
  5. Step 5: Solve for x
    x = 4,586,089,329.98/100,527.32
  6. Step 6: Final answer
    x = 45,620.33

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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.