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Finding the Fourth Proportional to 29,038.68, 40,075.70 and 17,104.37

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Solution

The fourth proportional to 29,038.68, 40,075.70 and 17,104.37 is: 23,605.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,038.68 : 40,075.70 = 17,104.37 : x
  2. Step 2: Convert to fraction form
    29,038.68/40,075.70 = 17,104.37/x
  3. Step 3: Cross multiply
    29,038.68x = 40,075.70 × 17,104.37
  4. Step 4: Simplify right side
    29,038.68x = 685,469,314.91
  5. Step 5: Solve for x
    x = 685,469,314.91/29,038.68
  6. Step 6: Final answer
    x = 23,605.39

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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.