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Finding the Fourth Proportional to 30,382.56, 45,508.23 and 29,638.98

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Solution

The fourth proportional to 30,382.56, 45,508.23 and 29,638.98 is: 44,394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,382.56 : 45,508.23 = 29,638.98 : x
  2. Step 2: Convert to fraction form
    30,382.56/45,508.23 = 29,638.98/x
  3. Step 3: Cross multiply
    30,382.56x = 45,508.23 × 29,638.98
  4. Step 4: Simplify right side
    30,382.56x = 1,348,817,518.81
  5. Step 5: Solve for x
    x = 1,348,817,518.81/30,382.56
  6. Step 6: Final answer
    x = 44,394.47

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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.