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Finding the Fourth Proportional to 82,705.50, 114,134.13 and 44,980.02

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Solution

The fourth proportional to 82,705.50, 114,134.13 and 44,980.02 is: 62,072.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,705.50 : 114,134.13 = 44,980.02 : x
  2. Step 2: Convert to fraction form
    82,705.50/114,134.13 = 44,980.02/x
  3. Step 3: Cross multiply
    82,705.50x = 114,134.13 × 44,980.02
  4. Step 4: Simplify right side
    82,705.50x = 5,133,755,450.08
  5. Step 5: Solve for x
    x = 5,133,755,450.08/82,705.50
  6. Step 6: Final answer
    x = 62,072.72

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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.