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Finding the Fourth Proportional to 52,087.50, 78,135.12 and 20,922.84

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Solution

The fourth proportional to 52,087.50, 78,135.12 and 20,922.84 is: 31,385.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,087.50 : 78,135.12 = 20,922.84 : x
  2. Step 2: Convert to fraction form
    52,087.50/78,135.12 = 20,922.84/x
  3. Step 3: Cross multiply
    52,087.50x = 78,135.12 × 20,922.84
  4. Step 4: Simplify right side
    52,087.50x = 1,634,808,614.14
  5. Step 5: Solve for x
    x = 1,634,808,614.14/52,087.50
  6. Step 6: Final answer
    x = 31,385.81

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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.