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Finding the Fourth Proportional to 46,633, 70,010.44 and 27,692.20

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Solution

The fourth proportional to 46,633, 70,010.44 and 27,692.20 is: 41,574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,633 : 70,010.44 = 27,692.20 : x
  2. Step 2: Convert to fraction form
    46,633/70,010.44 = 27,692.20/x
  3. Step 3: Cross multiply
    46,633x = 70,010.44 × 27,692.20
  4. Step 4: Simplify right side
    46,633x = 1,938,743,106.57
  5. Step 5: Solve for x
    x = 1,938,743,106.57/46,633
  6. Step 6: Final answer
    x = 41,574.49

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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.