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Finding the Fourth Proportional to 82,623.84, 114,020.91 and 44,898

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Solution

The fourth proportional to 82,623.84, 114,020.91 and 44,898 is: 61,959.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,623.84 : 114,020.91 = 44,898 : x
  2. Step 2: Convert to fraction form
    82,623.84/114,020.91 = 44,898/x
  3. Step 3: Cross multiply
    82,623.84x = 114,020.91 × 44,898
  4. Step 4: Simplify right side
    82,623.84x = 5,119,310,817.18
  5. Step 5: Solve for x
    x = 5,119,310,817.18/82,623.84
  6. Step 6: Final answer
    x = 61,959.25

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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.