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Finding the Fourth Proportional to 82,690.25, 114,109.10 and 46,882.68

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Solution

The fourth proportional to 82,690.25, 114,109.10 and 46,882.68 is: 64,696.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,690.25 : 114,109.10 = 46,882.68 : x
  2. Step 2: Convert to fraction form
    82,690.25/114,109.10 = 46,882.68/x
  3. Step 3: Cross multiply
    82,690.25x = 114,109.10 × 46,882.68
  4. Step 4: Simplify right side
    82,690.25x = 5,349,740,185.97
  5. Step 5: Solve for x
    x = 5,349,740,185.97/82,690.25
  6. Step 6: Final answer
    x = 64,696.15

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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.