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Finding the Fourth Proportional to 45,378.40, 68,020.80 and 20,430.40

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Solution

The fourth proportional to 45,378.40, 68,020.80 and 20,430.40 is: 30,624.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,378.40 : 68,020.80 = 20,430.40 : x
  2. Step 2: Convert to fraction form
    45,378.40/68,020.80 = 20,430.40/x
  3. Step 3: Cross multiply
    45,378.40x = 68,020.80 × 20,430.40
  4. Step 4: Simplify right side
    45,378.40x = 1,389,692,152.32
  5. Step 5: Solve for x
    x = 1,389,692,152.32/45,378.40
  6. Step 6: Final answer
    x = 30,624.53

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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.