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Finding the Fourth Proportional to 70,683.12, 105,986.88 and 37,318.80

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Solution

The fourth proportional to 70,683.12, 105,986.88 and 37,318.80 is: 55,958.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,683.12 : 105,986.88 = 37,318.80 : x
  2. Step 2: Convert to fraction form
    70,683.12/105,986.88 = 37,318.80/x
  3. Step 3: Cross multiply
    70,683.12x = 105,986.88 × 37,318.80
  4. Step 4: Simplify right side
    70,683.12x = 3,955,303,177.34
  5. Step 5: Solve for x
    x = 3,955,303,177.34/70,683.12
  6. Step 6: Final answer
    x = 55,958.24

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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.