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Finding the Fourth Proportional to 29,089.40, 43,634.10 and 8,312.90

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Solution

The fourth proportional to 29,089.40, 43,634.10 and 8,312.90 is: 12,469.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,089.40 : 43,634.10 = 8,312.90 : x
  2. Step 2: Convert to fraction form
    29,089.40/43,634.10 = 8,312.90/x
  3. Step 3: Cross multiply
    29,089.40x = 43,634.10 × 8,312.90
  4. Step 4: Simplify right side
    29,089.40x = 362,725,909.89
  5. Step 5: Solve for x
    x = 362,725,909.89/29,089.40
  6. Step 6: Final answer
    x = 12,469.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.