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Finding the Fourth Proportional to 82,626.67, 114,024.53 and 46,823.51

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Solution

The fourth proportional to 82,626.67, 114,024.53 and 46,823.51 is: 64,616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,626.67 : 114,024.53 = 46,823.51 : x
  2. Step 2: Convert to fraction form
    82,626.67/114,024.53 = 46,823.51/x
  3. Step 3: Cross multiply
    82,626.67x = 114,024.53 × 46,823.51
  4. Step 4: Simplify right side
    82,626.67x = 5,339,028,218.05
  5. Step 5: Solve for x
    x = 5,339,028,218.05/82,626.67
  6. Step 6: Final answer
    x = 64,616.28

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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.