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Finding the Fourth Proportional to 30,423.69, 45,637.17 and 9,648.81

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Solution

The fourth proportional to 30,423.69, 45,637.17 and 9,648.81 is: 14,473.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,423.69 : 45,637.17 = 9,648.81 : x
  2. Step 2: Convert to fraction form
    30,423.69/45,637.17 = 9,648.81/x
  3. Step 3: Cross multiply
    30,423.69x = 45,637.17 × 9,648.81
  4. Step 4: Simplify right side
    30,423.69x = 440,344,382.27
  5. Step 5: Solve for x
    x = 440,344,382.27/30,423.69
  6. Step 6: Final answer
    x = 14,473.73

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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.