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Finding the Fourth Proportional to 82,111.77, 113,314.32 and 44,386.02

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Solution

The fourth proportional to 82,111.77, 113,314.32 and 44,386.02 is: 61,252.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,111.77 : 113,314.32 = 44,386.02 : x
  2. Step 2: Convert to fraction form
    82,111.77/113,314.32 = 44,386.02/x
  3. Step 3: Cross multiply
    82,111.77x = 113,314.32 × 44,386.02
  4. Step 4: Simplify right side
    82,111.77x = 5,029,571,673.81
  5. Step 5: Solve for x
    x = 5,029,571,673.81/82,111.77
  6. Step 6: Final answer
    x = 61,252.75

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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.