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Finding the Fourth Proportional to 31,012.80, 46,527.04 and 13,485.76

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Solution

The fourth proportional to 31,012.80, 46,527.04 and 13,485.76 is: 20,232.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,012.80 : 46,527.04 = 13,485.76 : x
  2. Step 2: Convert to fraction form
    31,012.80/46,527.04 = 13,485.76/x
  3. Step 3: Cross multiply
    31,012.80x = 46,527.04 × 13,485.76
  4. Step 4: Simplify right side
    31,012.80x = 627,452,494.95
  5. Step 5: Solve for x
    x = 627,452,494.95/31,012.80
  6. Step 6: Final answer
    x = 20,232.05

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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.