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Finding the Fourth Proportional to 108,142.71, 162,214.45 and 33,262.35

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Solution

The fourth proportional to 108,142.71, 162,214.45 and 33,262.35 is: 49,893.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,142.71 : 162,214.45 = 33,262.35 : x
  2. Step 2: Convert to fraction form
    108,142.71/162,214.45 = 33,262.35/x
  3. Step 3: Cross multiply
    108,142.71x = 162,214.45 × 33,262.35
  4. Step 4: Simplify right side
    108,142.71x = 5,395,633,323.50
  5. Step 5: Solve for x
    x = 5,395,633,323.50/108,142.71
  6. Step 6: Final answer
    x = 49,893.64

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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.