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Finding the Fourth Proportional to 30,753.98, 42,444.53 and 17,327.82

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Solution

The fourth proportional to 30,753.98, 42,444.53 and 17,327.82 is: 23,914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,753.98 : 42,444.53 = 17,327.82 : x
  2. Step 2: Convert to fraction form
    30,753.98/42,444.53 = 17,327.82/x
  3. Step 3: Cross multiply
    30,753.98x = 42,444.53 × 17,327.82
  4. Step 4: Simplify right side
    30,753.98x = 735,471,089.19
  5. Step 5: Solve for x
    x = 735,471,089.19/30,753.98
  6. Step 6: Final answer
    x = 23,914.67

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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.