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Finding the Fourth Proportional to 30,475.34, 45,719.82 and 10,754.06

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Solution

The fourth proportional to 30,475.34, 45,719.82 and 10,754.06 is: 16,133.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,475.34 : 45,719.82 = 10,754.06 : x
  2. Step 2: Convert to fraction form
    30,475.34/45,719.82 = 10,754.06/x
  3. Step 3: Cross multiply
    30,475.34x = 45,719.82 × 10,754.06
  4. Step 4: Simplify right side
    30,475.34x = 491,673,687.47
  5. Step 5: Solve for x
    x = 491,673,687.47/30,475.34
  6. Step 6: Final answer
    x = 16,133.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.