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Finding the Fourth Proportional to 30,256.49, 41,747.82 and 17,678.81

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Solution

The fourth proportional to 30,256.49, 41,747.82 and 17,678.81 is: 24,393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,256.49 : 41,747.82 = 17,678.81 : x
  2. Step 2: Convert to fraction form
    30,256.49/41,747.82 = 17,678.81/x
  3. Step 3: Cross multiply
    30,256.49x = 41,747.82 × 17,678.81
  4. Step 4: Simplify right side
    30,256.49x = 738,051,777.69
  5. Step 5: Solve for x
    x = 738,051,777.69/30,256.49
  6. Step 6: Final answer
    x = 24,393.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.