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Finding the Fourth Proportional to 30,412.69, 45,623.39 and 9,354.49

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Solution

The fourth proportional to 30,412.69, 45,623.39 and 9,354.49 is: 14,033.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.69 : 45,623.39 = 9,354.49 : x
  2. Step 2: Convert to fraction form
    30,412.69/45,623.39 = 9,354.49/x
  3. Step 3: Cross multiply
    30,412.69x = 45,623.39 × 9,354.49
  4. Step 4: Simplify right side
    30,412.69x = 426,783,545.52
  5. Step 5: Solve for x
    x = 426,783,545.52/30,412.69
  6. Step 6: Final answer
    x = 14,033.07

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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.