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Finding the Fourth Proportional to 31,012.40, 46,517.88 and 9,952.50

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Solution

The fourth proportional to 31,012.40, 46,517.88 and 9,952.50 is: 14,928.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,012.40 : 46,517.88 = 9,952.50 : x
  2. Step 2: Convert to fraction form
    31,012.40/46,517.88 = 9,952.50/x
  3. Step 3: Cross multiply
    31,012.40x = 46,517.88 × 9,952.50
  4. Step 4: Simplify right side
    31,012.40x = 462,969,200.70
  5. Step 5: Solve for x
    x = 462,969,200.70/31,012.40
  6. Step 6: Final answer
    x = 14,928.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.