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Finding the Fourth Proportional to 50,412, 75,621.12 and 15,354.24

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Solution

The fourth proportional to 50,412, 75,621.12 and 15,354.24 is: 23,032.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,412 : 75,621.12 = 15,354.24 : x
  2. Step 2: Convert to fraction form
    50,412/75,621.12 = 15,354.24/x
  3. Step 3: Cross multiply
    50,412x = 75,621.12 × 15,354.24
  4. Step 4: Simplify right side
    50,412x = 1,161,104,825.55
  5. Step 5: Solve for x
    x = 1,161,104,825.55/50,412
  6. Step 6: Final answer
    x = 23,032.31

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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.