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Finding the Fourth Proportional to 30,536.69, 45,802.83 and 9,476.18

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Solution

The fourth proportional to 30,536.69, 45,802.83 and 9,476.18 is: 14,213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,536.69 : 45,802.83 = 9,476.18 : x
  2. Step 2: Convert to fraction form
    30,536.69/45,802.83 = 9,476.18/x
  3. Step 3: Cross multiply
    30,536.69x = 45,802.83 × 9,476.18
  4. Step 4: Simplify right side
    30,536.69x = 434,035,861.59
  5. Step 5: Solve for x
    x = 434,035,861.59/30,536.69
  6. Step 6: Final answer
    x = 14,213.59

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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.