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Finding the Fourth Proportional to 82,483.86, 113,821.47 and 48,493.74

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Solution

The fourth proportional to 82,483.86, 113,821.47 and 48,493.74 is: 66,917.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,483.86 : 113,821.47 = 48,493.74 : x
  2. Step 2: Convert to fraction form
    82,483.86/113,821.47 = 48,493.74/x
  3. Step 3: Cross multiply
    82,483.86x = 113,821.47 × 48,493.74
  4. Step 4: Simplify right side
    82,483.86x = 5,519,628,772.60
  5. Step 5: Solve for x
    x = 5,519,628,772.60/82,483.86
  6. Step 6: Final answer
    x = 66,917.68

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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.