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Finding the Fourth Proportional to 108,546.40, 162,848.40 and 38,418.40

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Solution

The fourth proportional to 108,546.40, 162,848.40 and 38,418.40 is: 57,637.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,546.40 : 162,848.40 = 38,418.40 : x
  2. Step 2: Convert to fraction form
    108,546.40/162,848.40 = 38,418.40/x
  3. Step 3: Cross multiply
    108,546.40x = 162,848.40 × 38,418.40
  4. Step 4: Simplify right side
    108,546.40x = 6,256,374,970.56
  5. Step 5: Solve for x
    x = 6,256,374,970.56/108,546.40
  6. Step 6: Final answer
    x = 57,637.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.