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Finding the Fourth Proportional to 51,457.68, 77,193.81 and 16,385.49

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Solution

The fourth proportional to 51,457.68, 77,193.81 and 16,385.49 is: 24,580.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,457.68 : 77,193.81 = 16,385.49 : x
  2. Step 2: Convert to fraction form
    51,457.68/77,193.81 = 16,385.49/x
  3. Step 3: Cross multiply
    51,457.68x = 77,193.81 × 16,385.49
  4. Step 4: Simplify right side
    51,457.68x = 1,264,858,401.82
  5. Step 5: Solve for x
    x = 1,264,858,401.82/51,457.68
  6. Step 6: Final answer
    x = 24,580.56

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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.