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Finding the Fourth Proportional to 30,424.69, 45,638.67 and 9,649.81

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Solution

The fourth proportional to 30,424.69, 45,638.67 and 9,649.81 is: 14,475.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,424.69 : 45,638.67 = 9,649.81 : x
  2. Step 2: Convert to fraction form
    30,424.69/45,638.67 = 9,649.81/x
  3. Step 3: Cross multiply
    30,424.69x = 45,638.67 × 9,649.81
  4. Step 4: Simplify right side
    30,424.69x = 440,404,494.15
  5. Step 5: Solve for x
    x = 440,404,494.15/30,424.69
  6. Step 6: Final answer
    x = 14,475.23

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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.