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Finding the Fourth Proportional to 30,688.40, 45,967.80 and 27,405.20

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Solution

The fourth proportional to 30,688.40, 45,967.80 and 27,405.20 is: 41,049.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,688.40 : 45,967.80 = 27,405.20 : x
  2. Step 2: Convert to fraction form
    30,688.40/45,967.80 = 27,405.20/x
  3. Step 3: Cross multiply
    30,688.40x = 45,967.80 × 27,405.20
  4. Step 4: Simplify right side
    30,688.40x = 1,259,756,752.56
  5. Step 5: Solve for x
    x = 1,259,756,752.56/30,688.40
  6. Step 6: Final answer
    x = 41,049.93

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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.