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Finding the Fourth Proportional to 70,219.31, 105,317.55 and 32,783.27

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Solution

The fourth proportional to 70,219.31, 105,317.55 and 32,783.27 is: 49,169.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,219.31 : 105,317.55 = 32,783.27 : x
  2. Step 2: Convert to fraction form
    70,219.31/105,317.55 = 32,783.27/x
  3. Step 3: Cross multiply
    70,219.31x = 105,317.55 × 32,783.27
  4. Step 4: Simplify right side
    70,219.31x = 3,452,653,150.80
  5. Step 5: Solve for x
    x = 3,452,653,150.80/70,219.31
  6. Step 6: Final answer
    x = 49,169.57

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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.