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Finding the Fourth Proportional to 44,354.04, 66,519.70 and 13,182

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Solution

The fourth proportional to 44,354.04, 66,519.70 and 13,182 is: 19,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,354.04 : 66,519.70 = 13,182 : x
  2. Step 2: Convert to fraction form
    44,354.04/66,519.70 = 13,182/x
  3. Step 3: Cross multiply
    44,354.04x = 66,519.70 × 13,182
  4. Step 4: Simplify right side
    44,354.04x = 876,862,685.40
  5. Step 5: Solve for x
    x = 876,862,685.40/44,354.04
  6. Step 6: Final answer
    x = 19,769.62

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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.