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Finding the Fourth Proportional to 30,510.40, 45,767.68 and 9,452.30

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Solution

The fourth proportional to 30,510.40, 45,767.68 and 9,452.30 is: 14,179.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,510.40 : 45,767.68 = 9,452.30 : x
  2. Step 2: Convert to fraction form
    30,510.40/45,767.68 = 9,452.30/x
  3. Step 3: Cross multiply
    30,510.40x = 45,767.68 × 9,452.30
  4. Step 4: Simplify right side
    30,510.40x = 432,609,841.66
  5. Step 5: Solve for x
    x = 432,609,841.66/30,510.40
  6. Step 6: Final answer
    x = 14,179.09

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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.