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Finding the Fourth Proportional to 108,000, 162,008.46 and 29,113.02

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Solution

The fourth proportional to 108,000, 162,008.46 and 29,113.02 is: 43,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,000 : 162,008.46 = 29,113.02 : x
  2. Step 2: Convert to fraction form
    108,000/162,008.46 = 29,113.02/x
  3. Step 3: Cross multiply
    108,000x = 162,008.46 × 29,113.02
  4. Step 4: Simplify right side
    108,000x = 4,716,555,536.15
  5. Step 5: Solve for x
    x = 4,716,555,536.15/108,000
  6. Step 6: Final answer
    x = 43,671.81

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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.