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Finding the Fourth Proportional to 82,650.99, 123,977.52 and 23,486.58

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Solution

The fourth proportional to 82,650.99, 123,977.52 and 23,486.58 is: 35,230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,650.99 : 123,977.52 = 23,486.58 : x
  2. Step 2: Convert to fraction form
    82,650.99/123,977.52 = 23,486.58/x
  3. Step 3: Cross multiply
    82,650.99x = 123,977.52 × 23,486.58
  4. Step 4: Simplify right side
    82,650.99x = 2,911,807,941.68
  5. Step 5: Solve for x
    x = 2,911,807,941.68/82,650.99
  6. Step 6: Final answer
    x = 35,230.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.