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Finding the Fourth Proportional to 34,671.40, 52,007.10 and 29,422.60

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Solution

The fourth proportional to 34,671.40, 52,007.10 and 29,422.60 is: 44,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,671.40 : 52,007.10 = 29,422.60 : x
  2. Step 2: Convert to fraction form
    34,671.40/52,007.10 = 29,422.60/x
  3. Step 3: Cross multiply
    34,671.40x = 52,007.10 × 29,422.60
  4. Step 4: Simplify right side
    34,671.40x = 1,530,184,100.46
  5. Step 5: Solve for x
    x = 1,530,184,100.46/34,671.40
  6. Step 6: Final answer
    x = 44,133.90

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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.