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Finding the Fourth Proportional to 30,677.43, 46,021.02 and 9,615.81

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Solution

The fourth proportional to 30,677.43, 46,021.02 and 9,615.81 is: 14,425.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,677.43 : 46,021.02 = 9,615.81 : x
  2. Step 2: Convert to fraction form
    30,677.43/46,021.02 = 9,615.81/x
  3. Step 3: Cross multiply
    30,677.43x = 46,021.02 × 9,615.81
  4. Step 4: Simplify right side
    30,677.43x = 442,529,384.33
  5. Step 5: Solve for x
    x = 442,529,384.33/30,677.43
  6. Step 6: Final answer
    x = 14,425.24

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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.