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Finding the Fourth Proportional to 36,059.84, 54,016.32 and 29,420

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Solution

The fourth proportional to 36,059.84, 54,016.32 and 29,420 is: 44,070.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,059.84 : 54,016.32 = 29,420 : x
  2. Step 2: Convert to fraction form
    36,059.84/54,016.32 = 29,420/x
  3. Step 3: Cross multiply
    36,059.84x = 54,016.32 × 29,420
  4. Step 4: Simplify right side
    36,059.84x = 1,589,160,134.40
  5. Step 5: Solve for x
    x = 1,589,160,134.40/36,059.84
  6. Step 6: Final answer
    x = 44,070.08

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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.