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Finding the Fourth Proportional to 50,902.56, 76,376.52 and 19,740.24

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Solution

The fourth proportional to 50,902.56, 76,376.52 and 19,740.24 is: 29,619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,902.56 : 76,376.52 = 19,740.24 : x
  2. Step 2: Convert to fraction form
    50,902.56/76,376.52 = 19,740.24/x
  3. Step 3: Cross multiply
    50,902.56x = 76,376.52 × 19,740.24
  4. Step 4: Simplify right side
    50,902.56x = 1,507,690,835.16
  5. Step 5: Solve for x
    x = 1,507,690,835.16/50,902.56
  6. Step 6: Final answer
    x = 29,619.16

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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.