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Finding the Fourth Proportional to 108,271, 162,421.49 and 33,397.03

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Solution

The fourth proportional to 108,271, 162,421.49 and 33,397.03 is: 50,100.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,271 : 162,421.49 = 33,397.03 : x
  2. Step 2: Convert to fraction form
    108,271/162,421.49 = 33,397.03/x
  3. Step 3: Cross multiply
    108,271x = 162,421.49 × 33,397.03
  4. Step 4: Simplify right side
    108,271x = 5,424,395,374.17
  5. Step 5: Solve for x
    x = 5,424,395,374.17/108,271
  6. Step 6: Final answer
    x = 50,100.17

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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.