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Finding the Fourth Proportional to 36,420.76, 54,633.50 and 11,461.76

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Solution

The fourth proportional to 36,420.76, 54,633.50 and 11,461.76 is: 17,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,420.76 : 54,633.50 = 11,461.76 : x
  2. Step 2: Convert to fraction form
    36,420.76/54,633.50 = 11,461.76/x
  3. Step 3: Cross multiply
    36,420.76x = 54,633.50 × 11,461.76
  4. Step 4: Simplify right side
    36,420.76x = 626,196,064.96
  5. Step 5: Solve for x
    x = 626,196,064.96/36,420.76
  6. Step 6: Final answer
    x = 17,193.38

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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.