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Finding the Fourth Proportional to 30,304.62, 45,457.65 and 10,314.05

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Solution

The fourth proportional to 30,304.62, 45,457.65 and 10,314.05 is: 15,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,304.62 : 45,457.65 = 10,314.05 : x
  2. Step 2: Convert to fraction form
    30,304.62/45,457.65 = 10,314.05/x
  3. Step 3: Cross multiply
    30,304.62x = 45,457.65 × 10,314.05
  4. Step 4: Simplify right side
    30,304.62x = 468,852,247.69
  5. Step 5: Solve for x
    x = 468,852,247.69/30,304.62
  6. Step 6: Final answer
    x = 15,471.31

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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.