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Finding the Fourth Proportional to 36,505.67, 54,765.27 and 11,552

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Solution

The fourth proportional to 36,505.67, 54,765.27 and 11,552 is: 17,330.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,505.67 : 54,765.27 = 11,552 : x
  2. Step 2: Convert to fraction form
    36,505.67/54,765.27 = 11,552/x
  3. Step 3: Cross multiply
    36,505.67x = 54,765.27 × 11,552
  4. Step 4: Simplify right side
    36,505.67x = 632,648,341.28
  5. Step 5: Solve for x
    x = 632,648,341.28/36,505.67
  6. Step 6: Final answer
    x = 17,330.14

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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.