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Finding the Fourth Proportional to 30,416.51, 45,627.04 and 8,229.39

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Solution

The fourth proportional to 30,416.51, 45,627.04 and 8,229.39 is: 12,344.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416.51 : 45,627.04 = 8,229.39 : x
  2. Step 2: Convert to fraction form
    30,416.51/45,627.04 = 8,229.39/x
  3. Step 3: Cross multiply
    30,416.51x = 45,627.04 × 8,229.39
  4. Step 4: Simplify right side
    30,416.51x = 375,482,706.71
  5. Step 5: Solve for x
    x = 375,482,706.71/30,416.51
  6. Step 6: Final answer
    x = 12,344.70

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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.