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Finding the Fourth Proportional to 51,453.56, 77,135.98 and 19,885.77

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Solution

The fourth proportional to 51,453.56, 77,135.98 and 19,885.77 is: 29,811.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,453.56 : 77,135.98 = 19,885.77 : x
  2. Step 2: Convert to fraction form
    51,453.56/77,135.98 = 19,885.77/x
  3. Step 3: Cross multiply
    51,453.56x = 77,135.98 × 19,885.77
  4. Step 4: Simplify right side
    51,453.56x = 1,533,908,213.88
  5. Step 5: Solve for x
    x = 1,533,908,213.88/51,453.56
  6. Step 6: Final answer
    x = 29,811.51

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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.