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Finding the Fourth Proportional to 30,405.80, 45,584.40 and 12,861.20

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Solution

The fourth proportional to 30,405.80, 45,584.40 and 12,861.20 is: 19,281.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,405.80 : 45,584.40 = 12,861.20 : x
  2. Step 2: Convert to fraction form
    30,405.80/45,584.40 = 12,861.20/x
  3. Step 3: Cross multiply
    30,405.80x = 45,584.40 × 12,861.20
  4. Step 4: Simplify right side
    30,405.80x = 586,270,085.28
  5. Step 5: Solve for x
    x = 586,270,085.28/30,405.80
  6. Step 6: Final answer
    x = 19,281.52

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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.