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Finding the Fourth Proportional to 30,440.78, 42,021.20 and 18,507.92

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Solution

The fourth proportional to 30,440.78, 42,021.20 and 18,507.92 is: 25,548.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,440.78 : 42,021.20 = 18,507.92 : x
  2. Step 2: Convert to fraction form
    30,440.78/42,021.20 = 18,507.92/x
  3. Step 3: Cross multiply
    30,440.78x = 42,021.20 × 18,507.92
  4. Step 4: Simplify right side
    30,440.78x = 777,725,159.23
  5. Step 5: Solve for x
    x = 777,725,159.23/30,440.78
  6. Step 6: Final answer
    x = 25,548.80

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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.