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Finding the Fourth Proportional to 30,300.84, 45,452.01 and 10,310.31

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Solution

The fourth proportional to 30,300.84, 45,452.01 and 10,310.31 is: 15,465.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,300.84 : 45,452.01 = 10,310.31 : x
  2. Step 2: Convert to fraction form
    30,300.84/45,452.01 = 10,310.31/x
  3. Step 3: Cross multiply
    30,300.84x = 45,452.01 × 10,310.31
  4. Step 4: Simplify right side
    30,300.84x = 468,624,313.22
  5. Step 5: Solve for x
    x = 468,624,313.22/30,300.84
  6. Step 6: Final answer
    x = 15,465.72

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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.