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Finding the Fourth Proportional to 82,551.48, 113,920.04 and 44,826

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Solution

The fourth proportional to 82,551.48, 113,920.04 and 44,826 is: 61,859.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,551.48 : 113,920.04 = 44,826 : x
  2. Step 2: Convert to fraction form
    82,551.48/113,920.04 = 44,826/x
  3. Step 3: Cross multiply
    82,551.48x = 113,920.04 × 44,826
  4. Step 4: Simplify right side
    82,551.48x = 5,106,579,713.04
  5. Step 5: Solve for x
    x = 5,106,579,713.04/82,551.48
  6. Step 6: Final answer
    x = 61,859.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.