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Finding the Fourth Proportional to 31,643.28, 47,448.90 and 10,575.81

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Solution

The fourth proportional to 31,643.28, 47,448.90 and 10,575.81 is: 15,858.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,643.28 : 47,448.90 = 10,575.81 : x
  2. Step 2: Convert to fraction form
    31,643.28/47,448.90 = 10,575.81/x
  3. Step 3: Cross multiply
    31,643.28x = 47,448.90 × 10,575.81
  4. Step 4: Simplify right side
    31,643.28x = 501,810,551.11
  5. Step 5: Solve for x
    x = 501,810,551.11/31,643.28
  6. Step 6: Final answer
    x = 15,858.36

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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.