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Finding the Fourth Proportional to 29,758.16, 41,066.70 and 16,329.20

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Solution

The fourth proportional to 29,758.16, 41,066.70 and 16,329.20 is: 22,534.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,758.16 : 41,066.70 = 16,329.20 : x
  2. Step 2: Convert to fraction form
    29,758.16/41,066.70 = 16,329.20/x
  3. Step 3: Cross multiply
    29,758.16x = 41,066.70 × 16,329.20
  4. Step 4: Simplify right side
    29,758.16x = 670,586,357.64
  5. Step 5: Solve for x
    x = 670,586,357.64/29,758.16
  6. Step 6: Final answer
    x = 22,534.54

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