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Finding the Fourth Proportional to 82,658.75, 114,094.85 and 48,664.53

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Solution

The fourth proportional to 82,658.75, 114,094.85 and 48,664.53 is: 67,172.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,658.75 : 114,094.85 = 48,664.53 : x
  2. Step 2: Convert to fraction form
    82,658.75/114,094.85 = 48,664.53/x
  3. Step 3: Cross multiply
    82,658.75x = 114,094.85 × 48,664.53
  4. Step 4: Simplify right side
    82,658.75x = 5,552,372,007.35
  5. Step 5: Solve for x
    x = 5,552,372,007.35/82,658.75
  6. Step 6: Final answer
    x = 67,172.23

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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.