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Finding the Fourth Proportional to 106,265.42, 159,399.50 and 31,386.64

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Solution

The fourth proportional to 106,265.42, 159,399.50 and 31,386.64 is: 47,080.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,265.42 : 159,399.50 = 31,386.64 : x
  2. Step 2: Convert to fraction form
    106,265.42/159,399.50 = 31,386.64/x
  3. Step 3: Cross multiply
    106,265.42x = 159,399.50 × 31,386.64
  4. Step 4: Simplify right side
    106,265.42x = 5,003,014,466.12
  5. Step 5: Solve for x
    x = 5,003,014,466.12/106,265.42
  6. Step 6: Final answer
    x = 47,080.36

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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.