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Finding the Fourth Proportional to 45,168.12, 67,716 and 21,463.77

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Solution

The fourth proportional to 45,168.12, 67,716 and 21,463.77 is: 32,178.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,168.12 : 67,716 = 21,463.77 : x
  2. Step 2: Convert to fraction form
    45,168.12/67,716 = 21,463.77/x
  3. Step 3: Cross multiply
    45,168.12x = 67,716 × 21,463.77
  4. Step 4: Simplify right side
    45,168.12x = 1,453,440,649.32
  5. Step 5: Solve for x
    x = 1,453,440,649.32/45,168.12
  6. Step 6: Final answer
    x = 32,178.46

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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.