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Finding the Fourth Proportional to 31,911.69, 47,867.53 and 31,865.57

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Solution

The fourth proportional to 31,911.69, 47,867.53 and 31,865.57 is: 47,798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,911.69 : 47,867.53 = 31,865.57 : x
  2. Step 2: Convert to fraction form
    31,911.69/47,867.53 = 31,865.57/x
  3. Step 3: Cross multiply
    31,911.69x = 47,867.53 × 31,865.57
  4. Step 4: Simplify right side
    31,911.69x = 1,525,326,137.81
  5. Step 5: Solve for x
    x = 1,525,326,137.81/31,911.69
  6. Step 6: Final answer
    x = 47,798.35

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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.