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Finding the Fourth Proportional to 82,625.34, 114,022.98 and 44,899.50

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Solution

The fourth proportional to 82,625.34, 114,022.98 and 44,899.50 is: 61,961.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,625.34 : 114,022.98 = 44,899.50 : x
  2. Step 2: Convert to fraction form
    82,625.34/114,022.98 = 44,899.50/x
  3. Step 3: Cross multiply
    82,625.34x = 114,022.98 × 44,899.50
  4. Step 4: Simplify right side
    82,625.34x = 5,119,574,790.51
  5. Step 5: Solve for x
    x = 5,119,574,790.51/82,625.34
  6. Step 6: Final answer
    x = 61,961.32

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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.