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Finding the Fourth Proportional to 82,655.40, 123,922.35 and 26,463

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Solution

The fourth proportional to 82,655.40, 123,922.35 and 26,463 is: 39,675.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,655.40 : 123,922.35 = 26,463 : x
  2. Step 2: Convert to fraction form
    82,655.40/123,922.35 = 26,463/x
  3. Step 3: Cross multiply
    82,655.40x = 123,922.35 × 26,463
  4. Step 4: Simplify right side
    82,655.40x = 3,279,357,148.05
  5. Step 5: Solve for x
    x = 3,279,357,148.05/82,655.40
  6. Step 6: Final answer
    x = 39,675.05

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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.