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Finding the Fourth Proportional to 82,761.40, 124,142.10 and 53,018.20

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Solution

The fourth proportional to 82,761.40, 124,142.10 and 53,018.20 is: 79,527.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,761.40 : 124,142.10 = 53,018.20 : x
  2. Step 2: Convert to fraction form
    82,761.40/124,142.10 = 53,018.20/x
  3. Step 3: Cross multiply
    82,761.40x = 124,142.10 × 53,018.20
  4. Step 4: Simplify right side
    82,761.40x = 6,581,790,686.22
  5. Step 5: Solve for x
    x = 6,581,790,686.22/82,761.40
  6. Step 6: Final answer
    x = 79,527.30

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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.