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Finding the Fourth Proportional to 30,302.88, 45,453.60 and 8,116.24

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Solution

The fourth proportional to 30,302.88, 45,453.60 and 8,116.24 is: 12,174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,302.88 : 45,453.60 = 8,116.24 : x
  2. Step 2: Convert to fraction form
    30,302.88/45,453.60 = 8,116.24/x
  3. Step 3: Cross multiply
    30,302.88x = 45,453.60 × 8,116.24
  4. Step 4: Simplify right side
    30,302.88x = 368,912,326.46
  5. Step 5: Solve for x
    x = 368,912,326.46/30,302.88
  6. Step 6: Final answer
    x = 12,174.17

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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.