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Finding the Fourth Proportional to 36,401.40, 54,602.10 and 13,029.66

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Solution

The fourth proportional to 36,401.40, 54,602.10 and 13,029.66 is: 19,544.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,401.40 : 54,602.10 = 13,029.66 : x
  2. Step 2: Convert to fraction form
    36,401.40/54,602.10 = 13,029.66/x
  3. Step 3: Cross multiply
    36,401.40x = 54,602.10 × 13,029.66
  4. Step 4: Simplify right side
    36,401.40x = 711,446,798.29
  5. Step 5: Solve for x
    x = 711,446,798.29/36,401.40
  6. Step 6: Final answer
    x = 19,544.49

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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.