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Finding the Fourth Proportional to 30,609.56, 45,908.96 and 8,417.58

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Solution

The fourth proportional to 30,609.56, 45,908.96 and 8,417.58 is: 12,624.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,609.56 : 45,908.96 = 8,417.58 : x
  2. Step 2: Convert to fraction form
    30,609.56/45,908.96 = 8,417.58/x
  3. Step 3: Cross multiply
    30,609.56x = 45,908.96 × 8,417.58
  4. Step 4: Simplify right side
    30,609.56x = 386,442,301.43
  5. Step 5: Solve for x
    x = 386,442,301.43/30,609.56
  6. Step 6: Final answer
    x = 12,624.89

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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.