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Finding the Fourth Proportional to 37,758.60, 56,638.44 and 16,406.46

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Solution

The fourth proportional to 37,758.60, 56,638.44 and 16,406.46 is: 24,609.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,758.60 : 56,638.44 = 16,406.46 : x
  2. Step 2: Convert to fraction form
    37,758.60/56,638.44 = 16,406.46/x
  3. Step 3: Cross multiply
    37,758.60x = 56,638.44 × 16,406.46
  4. Step 4: Simplify right side
    37,758.60x = 929,236,300.32
  5. Step 5: Solve for x
    x = 929,236,300.32/37,758.60
  6. Step 6: Final answer
    x = 24,609.92

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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.