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Finding the Fourth Proportional to 30,072.96, 45,096.48 and 11,592

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Solution

The fourth proportional to 30,072.96, 45,096.48 and 11,592 is: 17,383.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,072.96 : 45,096.48 = 11,592 : x
  2. Step 2: Convert to fraction form
    30,072.96/45,096.48 = 11,592/x
  3. Step 3: Cross multiply
    30,072.96x = 45,096.48 × 11,592
  4. Step 4: Simplify right side
    30,072.96x = 522,758,396.16
  5. Step 5: Solve for x
    x = 522,758,396.16/30,072.96
  6. Step 6: Final answer
    x = 17,383.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.