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Finding the Fourth Proportional to 100,586.40, 150,706.80 and 47,882.40

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Solution

The fourth proportional to 100,586.40, 150,706.80 and 47,882.40 is: 71,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,586.40 : 150,706.80 = 47,882.40 : x
  2. Step 2: Convert to fraction form
    100,586.40/150,706.80 = 47,882.40/x
  3. Step 3: Cross multiply
    100,586.40x = 150,706.80 × 47,882.40
  4. Step 4: Simplify right side
    100,586.40x = 7,216,203,280.32
  5. Step 5: Solve for x
    x = 7,216,203,280.32/100,586.40
  6. Step 6: Final answer
    x = 71,741.34

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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.