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Finding the Fourth Proportional to 82,620.78, 114,016.02 and 44,895.30

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Solution

The fourth proportional to 82,620.78, 114,016.02 and 44,895.30 is: 61,955.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,620.78 : 114,016.02 = 44,895.30 : x
  2. Step 2: Convert to fraction form
    82,620.78/114,016.02 = 44,895.30/x
  3. Step 3: Cross multiply
    82,620.78x = 114,016.02 × 44,895.30
  4. Step 4: Simplify right side
    82,620.78x = 5,118,783,422.71
  5. Step 5: Solve for x
    x = 5,118,783,422.71/82,620.78
  6. Step 6: Final answer
    x = 61,955.16

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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.