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Finding the Fourth Proportional to 108,002, 162,011.46 and 29,115.02

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Solution

The fourth proportional to 108,002, 162,011.46 and 29,115.02 is: 43,674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,002 : 162,011.46 = 29,115.02 : x
  2. Step 2: Convert to fraction form
    108,002/162,011.46 = 29,115.02/x
  3. Step 3: Cross multiply
    108,002x = 162,011.46 × 29,115.02
  4. Step 4: Simplify right side
    108,002x = 4,716,966,898.13
  5. Step 5: Solve for x
    x = 4,716,966,898.13/108,002
  6. Step 6: Final answer
    x = 43,674.81

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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.