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Finding the Fourth Proportional to 30,282.59, 45,425.81 and 9,506.91

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Solution

The fourth proportional to 30,282.59, 45,425.81 and 9,506.91 is: 14,260.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,282.59 : 45,425.81 = 9,506.91 : x
  2. Step 2: Convert to fraction form
    30,282.59/45,425.81 = 9,506.91/x
  3. Step 3: Cross multiply
    30,282.59x = 45,425.81 × 9,506.91
  4. Step 4: Simplify right side
    30,282.59x = 431,859,087.35
  5. Step 5: Solve for x
    x = 431,859,087.35/30,282.59
  6. Step 6: Final answer
    x = 14,260.97

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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.