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Finding the Fourth Proportional to 82,003.40, 123,005.10 and 54,009.80

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Solution

The fourth proportional to 82,003.40, 123,005.10 and 54,009.80 is: 81,014.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,003.40 : 123,005.10 = 54,009.80 : x
  2. Step 2: Convert to fraction form
    82,003.40/123,005.10 = 54,009.80/x
  3. Step 3: Cross multiply
    82,003.40x = 123,005.10 × 54,009.80
  4. Step 4: Simplify right side
    82,003.40x = 6,643,480,849.98
  5. Step 5: Solve for x
    x = 6,643,480,849.98/82,003.40
  6. Step 6: Final answer
    x = 81,014.70

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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.