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Finding the Fourth Proportional to 35,811.34, 49,416.76 and 20,704.98

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Solution

The fourth proportional to 35,811.34, 49,416.76 and 20,704.98 is: 28,571.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,811.34 : 49,416.76 = 20,704.98 : x
  2. Step 2: Convert to fraction form
    35,811.34/49,416.76 = 20,704.98/x
  3. Step 3: Cross multiply
    35,811.34x = 49,416.76 × 20,704.98
  4. Step 4: Simplify right side
    35,811.34x = 1,023,173,027.46
  5. Step 5: Solve for x
    x = 1,023,173,027.46/35,811.34
  6. Step 6: Final answer
    x = 28,571.20

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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.