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Finding the Fourth Proportional to 30,568.89, 45,859.94 and 9,508.53

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Solution

The fourth proportional to 30,568.89, 45,859.94 and 9,508.53 is: 14,264.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,568.89 : 45,859.94 = 9,508.53 : x
  2. Step 2: Convert to fraction form
    30,568.89/45,859.94 = 9,508.53/x
  3. Step 3: Cross multiply
    30,568.89x = 45,859.94 × 9,508.53
  4. Step 4: Simplify right side
    30,568.89x = 436,060,615.29
  5. Step 5: Solve for x
    x = 436,060,615.29/30,568.89
  6. Step 6: Final answer
    x = 14,264.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.