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Finding the Fourth Proportional to 30,782, 46,116.30 and 27,461.27

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Solution

The fourth proportional to 30,782, 46,116.30 and 27,461.27 is: 41,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782 : 46,116.30 = 27,461.27 : x
  2. Step 2: Convert to fraction form
    30,782/46,116.30 = 27,461.27/x
  3. Step 3: Cross multiply
    30,782x = 46,116.30 × 27,461.27
  4. Step 4: Simplify right side
    30,782x = 1,266,412,165.70
  5. Step 5: Solve for x
    x = 1,266,412,165.70/30,782
  6. Step 6: Final answer
    x = 41,141.32

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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.