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Finding the Fourth Proportional to 82,315.98, 123,642.72 and 54,276.48

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Solution

The fourth proportional to 82,315.98, 123,642.72 and 54,276.48 is: 81,525.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,315.98 : 123,642.72 = 54,276.48 : x
  2. Step 2: Convert to fraction form
    82,315.98/123,642.72 = 54,276.48/x
  3. Step 3: Cross multiply
    82,315.98x = 123,642.72 × 54,276.48
  4. Step 4: Simplify right side
    82,315.98x = 6,710,891,619.23
  5. Step 5: Solve for x
    x = 6,710,891,619.23/82,315.98
  6. Step 6: Final answer
    x = 81,525.99

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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.