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Finding the Fourth Proportional to 30,362.10, 41,892.56 and 18,425.16

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Solution

The fourth proportional to 30,362.10, 41,892.56 and 18,425.16 is: 25,422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,362.10 : 41,892.56 = 18,425.16 : x
  2. Step 2: Convert to fraction form
    30,362.10/41,892.56 = 18,425.16/x
  3. Step 3: Cross multiply
    30,362.10x = 41,892.56 × 18,425.16
  4. Step 4: Simplify right side
    30,362.10x = 771,877,120.81
  5. Step 5: Solve for x
    x = 771,877,120.81/30,362.10
  6. Step 6: Final answer
    x = 25,422.39

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Why These Related Problems?

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