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Finding the Fourth Proportional to 108,202.64, 162,304.76 and 33,323.40

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Solution

The fourth proportional to 108,202.64, 162,304.76 and 33,323.40 is: 49,985.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,202.64 : 162,304.76 = 33,323.40 : x
  2. Step 2: Convert to fraction form
    108,202.64/162,304.76 = 33,323.40/x
  3. Step 3: Cross multiply
    108,202.64x = 162,304.76 × 33,323.40
  4. Step 4: Simplify right side
    108,202.64x = 5,408,546,522.69
  5. Step 5: Solve for x
    x = 5,408,546,522.69/108,202.64
  6. Step 6: Final answer
    x = 49,985.35

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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.