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Finding the Fourth Proportional to 82,023, 113,159.34 and 51,797.04

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Solution

The fourth proportional to 82,023, 113,159.34 and 51,797.04 is: 71,459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,023 : 113,159.34 = 51,797.04 : x
  2. Step 2: Convert to fraction form
    82,023/113,159.34 = 51,797.04/x
  3. Step 3: Cross multiply
    82,023x = 113,159.34 × 51,797.04
  4. Step 4: Simplify right side
    82,023x = 5,861,318,860.35
  5. Step 5: Solve for x
    x = 5,861,318,860.35/82,023
  6. Step 6: Final answer
    x = 71,459.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.