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Finding the Fourth Proportional to 30,452.40, 45,676.98 and 9,674.28

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Solution

The fourth proportional to 30,452.40, 45,676.98 and 9,674.28 is: 14,510.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,452.40 : 45,676.98 = 9,674.28 : x
  2. Step 2: Convert to fraction form
    30,452.40/45,676.98 = 9,674.28/x
  3. Step 3: Cross multiply
    30,452.40x = 45,676.98 × 9,674.28
  4. Step 4: Simplify right side
    30,452.40x = 441,891,894.07
  5. Step 5: Solve for x
    x = 441,891,894.07/30,452.40
  6. Step 6: Final answer
    x = 14,510.91

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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.