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Finding the Fourth Proportional to 30,368.40, 45,553.17 and 10,382.46

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Solution

The fourth proportional to 30,368.40, 45,553.17 and 10,382.46 is: 15,573.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,368.40 : 45,553.17 = 10,382.46 : x
  2. Step 2: Convert to fraction form
    30,368.40/45,553.17 = 10,382.46/x
  3. Step 3: Cross multiply
    30,368.40x = 45,553.17 × 10,382.46
  4. Step 4: Simplify right side
    30,368.40x = 472,953,965.40
  5. Step 5: Solve for x
    x = 472,953,965.40/30,368.40
  6. Step 6: Final answer
    x = 15,573.88

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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.