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Finding the Fourth Proportional to 82,634.77, 114,033.81 and 46,828.18

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Solution

The fourth proportional to 82,634.77, 114,033.81 and 46,828.18 is: 64,621.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,634.77 : 114,033.81 = 46,828.18 : x
  2. Step 2: Convert to fraction form
    82,634.77/114,033.81 = 46,828.18/x
  3. Step 3: Cross multiply
    82,634.77x = 114,033.81 × 46,828.18
  4. Step 4: Simplify right side
    82,634.77x = 5,339,995,780.77
  5. Step 5: Solve for x
    x = 5,339,995,780.77/82,634.77
  6. Step 6: Final answer
    x = 64,621.66

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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.