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Finding the Fourth Proportional to 30,154.37, 45,243.86 and 10,446.80

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Solution

The fourth proportional to 30,154.37, 45,243.86 and 10,446.80 is: 15,674.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,154.37 : 45,243.86 = 10,446.80 : x
  2. Step 2: Convert to fraction form
    30,154.37/45,243.86 = 10,446.80/x
  3. Step 3: Cross multiply
    30,154.37x = 45,243.86 × 10,446.80
  4. Step 4: Simplify right side
    30,154.37x = 472,653,278.19
  5. Step 5: Solve for x
    x = 472,653,278.19/30,154.37
  6. Step 6: Final answer
    x = 15,674.46

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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.