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Finding the Fourth Proportional to 31,343.64, 47,015.62 and 10,567.32

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Solution

The fourth proportional to 31,343.64, 47,015.62 and 10,567.32 is: 15,851.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,343.64 : 47,015.62 = 10,567.32 : x
  2. Step 2: Convert to fraction form
    31,343.64/47,015.62 = 10,567.32/x
  3. Step 3: Cross multiply
    31,343.64x = 47,015.62 × 10,567.32
  4. Step 4: Simplify right side
    31,343.64x = 496,829,101.54
  5. Step 5: Solve for x
    x = 496,829,101.54/31,343.64
  6. Step 6: Final answer
    x = 15,851.03

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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.