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Finding the Fourth Proportional to 30,508.16, 45,769.41 and 9,731.66

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Solution

The fourth proportional to 30,508.16, 45,769.41 and 9,731.66 is: 14,599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,508.16 : 45,769.41 = 9,731.66 : x
  2. Step 2: Convert to fraction form
    30,508.16/45,769.41 = 9,731.66/x
  3. Step 3: Cross multiply
    30,508.16x = 45,769.41 × 9,731.66
  4. Step 4: Simplify right side
    30,508.16x = 445,412,107.67
  5. Step 5: Solve for x
    x = 445,412,107.67/30,508.16
  6. Step 6: Final answer
    x = 14,599.77

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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.