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Finding the Fourth Proportional to 34,507.28, 47,643.18 and 23,193.66

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Solution

The fourth proportional to 34,507.28, 47,643.18 and 23,193.66 is: 32,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,507.28 : 47,643.18 = 23,193.66 : x
  2. Step 2: Convert to fraction form
    34,507.28/47,643.18 = 23,193.66/x
  3. Step 3: Cross multiply
    34,507.28x = 47,643.18 × 23,193.66
  4. Step 4: Simplify right side
    34,507.28x = 1,105,019,718.24
  5. Step 5: Solve for x
    x = 1,105,019,718.24/34,507.28
  6. Step 6: Final answer
    x = 32,022.80

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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.