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Finding the Fourth Proportional to 82,664, 114,076.05 and 44,937.98

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Solution

The fourth proportional to 82,664, 114,076.05 and 44,937.98 is: 62,014.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,664 : 114,076.05 = 44,937.98 : x
  2. Step 2: Convert to fraction form
    82,664/114,076.05 = 44,937.98/x
  3. Step 3: Cross multiply
    82,664x = 114,076.05 × 44,937.98
  4. Step 4: Simplify right side
    82,664x = 5,126,347,253.38
  5. Step 5: Solve for x
    x = 5,126,347,253.38/82,664
  6. Step 6: Final answer
    x = 62,014.27

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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.