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Finding the Fourth Proportional to 34,073.36, 47,011.82 and 20,457.90

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Solution

The fourth proportional to 34,073.36, 47,011.82 and 20,457.90 is: 28,226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,073.36 : 47,011.82 = 20,457.90 : x
  2. Step 2: Convert to fraction form
    34,073.36/47,011.82 = 20,457.90/x
  3. Step 3: Cross multiply
    34,073.36x = 47,011.82 × 20,457.90
  4. Step 4: Simplify right side
    34,073.36x = 961,763,112.38
  5. Step 5: Solve for x
    x = 961,763,112.38/34,073.36
  6. Step 6: Final answer
    x = 28,226.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.