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Finding the Fourth Proportional to 31,342.79, 47,017.17 and 9,156.35

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Solution

The fourth proportional to 31,342.79, 47,017.17 and 9,156.35 is: 13,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,342.79 : 47,017.17 = 9,156.35 : x
  2. Step 2: Convert to fraction form
    31,342.79/47,017.17 = 9,156.35/x
  3. Step 3: Cross multiply
    31,342.79x = 47,017.17 × 9,156.35
  4. Step 4: Simplify right side
    31,342.79x = 430,505,429.44
  5. Step 5: Solve for x
    x = 430,505,429.44/31,342.79
  6. Step 6: Final answer
    x = 13,735.39

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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.