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Finding the Fourth Proportional to 70,815.14, 106,173.50 and 31,350.72

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Solution

The fourth proportional to 70,815.14, 106,173.50 and 31,350.72 is: 47,004.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,815.14 : 106,173.50 = 31,350.72 : x
  2. Step 2: Convert to fraction form
    70,815.14/106,173.50 = 31,350.72/x
  3. Step 3: Cross multiply
    70,815.14x = 106,173.50 × 31,350.72
  4. Step 4: Simplify right side
    70,815.14x = 3,328,615,513.17
  5. Step 5: Solve for x
    x = 3,328,615,513.17/70,815.14
  6. Step 6: Final answer
    x = 47,004.30

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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.