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Finding the Fourth Proportional to 82,875.82, 114,493.62 and 66,932.59

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Solution

The fourth proportional to 82,875.82, 114,493.62 and 66,932.59 is: 92,467.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,875.82 : 114,493.62 = 66,932.59 : x
  2. Step 2: Convert to fraction form
    82,875.82/114,493.62 = 66,932.59/x
  3. Step 3: Cross multiply
    82,875.82x = 114,493.62 × 66,932.59
  4. Step 4: Simplify right side
    82,875.82x = 7,663,354,525.08
  5. Step 5: Solve for x
    x = 7,663,354,525.08/82,875.82
  6. Step 6: Final answer
    x = 92,467.92

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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.