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Finding the Fourth Proportional to 29,821.70, 41,154.03 and 17,075.08

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Solution

The fourth proportional to 29,821.70, 41,154.03 and 17,075.08 is: 23,563.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,821.70 : 41,154.03 = 17,075.08 : x
  2. Step 2: Convert to fraction form
    29,821.70/41,154.03 = 17,075.08/x
  3. Step 3: Cross multiply
    29,821.70x = 41,154.03 × 17,075.08
  4. Step 4: Simplify right side
    29,821.70x = 702,708,063.43
  5. Step 5: Solve for x
    x = 702,708,063.43/29,821.70
  6. Step 6: Final answer
    x = 23,563.65

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1.5x scale

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.