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Finding the Fourth Proportional to 82,767.90, 114,219.87 and 46,950.99

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Solution

The fourth proportional to 82,767.90, 114,219.87 and 46,950.99 is: 64,792.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,767.90 : 114,219.87 = 46,950.99 : x
  2. Step 2: Convert to fraction form
    82,767.90/114,219.87 = 46,950.99/x
  3. Step 3: Cross multiply
    82,767.90x = 114,219.87 × 46,950.99
  4. Step 4: Simplify right side
    82,767.90x = 5,362,735,369.78
  5. Step 5: Solve for x
    x = 5,362,735,369.78/82,767.90
  6. Step 6: Final answer
    x = 64,792.45

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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.