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Finding the Fourth Proportional to 82,617.33, 114,012.30 and 46,814.32

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Solution

The fourth proportional to 82,617.33, 114,012.30 and 46,814.32 is: 64,603.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,617.33 : 114,012.30 = 46,814.32 : x
  2. Step 2: Convert to fraction form
    82,617.33/114,012.30 = 46,814.32/x
  3. Step 3: Cross multiply
    82,617.33x = 114,012.30 × 46,814.32
  4. Step 4: Simplify right side
    82,617.33x = 5,337,407,492.00
  5. Step 5: Solve for x
    x = 5,337,407,492.00/82,617.33
  6. Step 6: Final answer
    x = 64,603.97

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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.