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Finding the Fourth Proportional to 100,409.94, 150,525.42 and 38,124.18

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Solution

The fourth proportional to 100,409.94, 150,525.42 and 38,124.18 is: 57,152.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,409.94 : 150,525.42 = 38,124.18 : x
  2. Step 2: Convert to fraction form
    100,409.94/150,525.42 = 38,124.18/x
  3. Step 3: Cross multiply
    100,409.94x = 150,525.42 × 38,124.18
  4. Step 4: Simplify right side
    100,409.94x = 5,738,658,206.66
  5. Step 5: Solve for x
    x = 5,738,658,206.66/100,409.94
  6. Step 6: Final answer
    x = 57,152.29

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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.