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Finding the Fourth Proportional to 81,321.40, 121,982.10 and 53,417.80

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Solution

The fourth proportional to 81,321.40, 121,982.10 and 53,417.80 is: 80,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,321.40 : 121,982.10 = 53,417.80 : x
  2. Step 2: Convert to fraction form
    81,321.40/121,982.10 = 53,417.80/x
  3. Step 3: Cross multiply
    81,321.40x = 121,982.10 × 53,417.80
  4. Step 4: Simplify right side
    81,321.40x = 6,516,015,421.38
  5. Step 5: Solve for x
    x = 6,516,015,421.38/81,321.40
  6. Step 6: Final answer
    x = 80,126.70

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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.