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Finding the Fourth Proportional to 31,030.41, 46,517.70 and 11,295.12

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Solution

The fourth proportional to 31,030.41, 46,517.70 and 11,295.12 is: 16,932.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,030.41 : 46,517.70 = 11,295.12 : x
  2. Step 2: Convert to fraction form
    31,030.41/46,517.70 = 11,295.12/x
  3. Step 3: Cross multiply
    31,030.41x = 46,517.70 × 11,295.12
  4. Step 4: Simplify right side
    31,030.41x = 525,423,003.62
  5. Step 5: Solve for x
    x = 525,423,003.62/31,030.41
  6. Step 6: Final answer
    x = 16,932.52

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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.