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Finding the Fourth Proportional to 50,835.40, 76,253.61 and 13,400.84

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Solution

The fourth proportional to 50,835.40, 76,253.61 and 13,400.84 is: 20,101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,835.40 : 76,253.61 = 13,400.84 : x
  2. Step 2: Convert to fraction form
    50,835.40/76,253.61 = 13,400.84/x
  3. Step 3: Cross multiply
    50,835.40x = 76,253.61 × 13,400.84
  4. Step 4: Simplify right side
    50,835.40x = 1,021,862,427.03
  5. Step 5: Solve for x
    x = 1,021,862,427.03/50,835.40
  6. Step 6: Final answer
    x = 20,101.40

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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.