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Finding the Fourth Proportional to 30,816, 42,613.56 and 29,423.61

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Solution

The fourth proportional to 30,816, 42,613.56 and 29,423.61 is: 40,688.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,816 : 42,613.56 = 29,423.61 : x
  2. Step 2: Convert to fraction form
    30,816/42,613.56 = 29,423.61/x
  3. Step 3: Cross multiply
    30,816x = 42,613.56 × 29,423.61
  4. Step 4: Simplify right side
    30,816x = 1,253,844,770.15
  5. Step 5: Solve for x
    x = 1,253,844,770.15/30,816
  6. Step 6: Final answer
    x = 40,688.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.