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Finding the Fourth Proportional to 30,232.16, 41,719.49 and 17,311.01

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Solution

The fourth proportional to 30,232.16, 41,719.49 and 17,311.01 is: 23,888.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,232.16 : 41,719.49 = 17,311.01 : x
  2. Step 2: Convert to fraction form
    30,232.16/41,719.49 = 17,311.01/x
  3. Step 3: Cross multiply
    30,232.16x = 41,719.49 × 17,311.01
  4. Step 4: Simplify right side
    30,232.16x = 722,206,278.35
  5. Step 5: Solve for x
    x = 722,206,278.35/30,232.16
  6. Step 6: Final answer
    x = 23,888.68

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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.