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Finding the Fourth Proportional to 31,014.80, 46,530.04 and 13,487.76

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Solution

The fourth proportional to 31,014.80, 46,530.04 and 13,487.76 is: 20,235.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,014.80 : 46,530.04 = 13,487.76 : x
  2. Step 2: Convert to fraction form
    31,014.80/46,530.04 = 13,487.76/x
  3. Step 3: Cross multiply
    31,014.80x = 46,530.04 × 13,487.76
  4. Step 4: Simplify right side
    31,014.80x = 627,586,012.31
  5. Step 5: Solve for x
    x = 627,586,012.31/31,014.80
  6. Step 6: Final answer
    x = 20,235.05

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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.