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Finding the Fourth Proportional to 82,454, 113,786.58 and 44,728.40

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Solution

The fourth proportional to 82,454, 113,786.58 and 44,728.40 is: 61,725.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,454 : 113,786.58 = 44,728.40 : x
  2. Step 2: Convert to fraction form
    82,454/113,786.58 = 44,728.40/x
  3. Step 3: Cross multiply
    82,454x = 113,786.58 × 44,728.40
  4. Step 4: Simplify right side
    82,454x = 5,089,491,664.87
  5. Step 5: Solve for x
    x = 5,089,491,664.87/82,454
  6. Step 6: Final answer
    x = 61,725.22

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Why These Related Problems?

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