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Finding the Fourth Proportional to 82,453, 113,785.20 and 44,727.40

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Solution

The fourth proportional to 82,453, 113,785.20 and 44,727.40 is: 61,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,453 : 113,785.20 = 44,727.40 : x
  2. Step 2: Convert to fraction form
    82,453/113,785.20 = 44,727.40/x
  3. Step 3: Cross multiply
    82,453x = 113,785.20 × 44,727.40
  4. Step 4: Simplify right side
    82,453x = 5,089,316,154.48
  5. Step 5: Solve for x
    x = 5,089,316,154.48/82,453
  6. Step 6: Final answer
    x = 61,723.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.