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Finding the Fourth Proportional to 30,256.04, 41,747.16 and 17,678.36

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Solution

The fourth proportional to 30,256.04, 41,747.16 and 17,678.36 is: 24,392.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,256.04 : 41,747.16 = 17,678.36 : x
  2. Step 2: Convert to fraction form
    30,256.04/41,747.16 = 17,678.36/x
  3. Step 3: Cross multiply
    30,256.04x = 41,747.16 × 17,678.36
  4. Step 4: Simplify right side
    30,256.04x = 738,021,323.46
  5. Step 5: Solve for x
    x = 738,021,323.46/30,256.04
  6. Step 6: Final answer
    x = 24,392.53

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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.