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Finding the Fourth Proportional to 30,568.65, 45,859.58 and 9,508.29

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Solution

The fourth proportional to 30,568.65, 45,859.58 and 9,508.29 is: 14,264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,568.65 : 45,859.58 = 9,508.29 : x
  2. Step 2: Convert to fraction form
    30,568.65/45,859.58 = 9,508.29/x
  3. Step 3: Cross multiply
    30,568.65x = 45,859.58 × 9,508.29
  4. Step 4: Simplify right side
    30,568.65x = 436,046,138.38
  5. Step 5: Solve for x
    x = 436,046,138.38/30,568.65
  6. Step 6: Final answer
    x = 14,264.49

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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.