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Finding the Fourth Proportional to 108,025, 162,029.34 and 37,909

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Solution

The fourth proportional to 108,025, 162,029.34 and 37,909 is: 56,860.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,025 : 162,029.34 = 37,909 : x
  2. Step 2: Convert to fraction form
    108,025/162,029.34 = 37,909/x
  3. Step 3: Cross multiply
    108,025x = 162,029.34 × 37,909
  4. Step 4: Simplify right side
    108,025x = 6,142,370,250.06
  5. Step 5: Solve for x
    x = 6,142,370,250.06/108,025
  6. Step 6: Final answer
    x = 56,860.64

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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.