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Finding the Fourth Proportional to 30,770.64, 42,496.92 and 26,795.16

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Solution

The fourth proportional to 30,770.64, 42,496.92 and 26,795.16 is: 37,006.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,770.64 : 42,496.92 = 26,795.16 : x
  2. Step 2: Convert to fraction form
    30,770.64/42,496.92 = 26,795.16/x
  3. Step 3: Cross multiply
    30,770.64x = 42,496.92 × 26,795.16
  4. Step 4: Simplify right side
    30,770.64x = 1,138,711,770.91
  5. Step 5: Solve for x
    x = 1,138,711,770.91/30,770.64
  6. Step 6: Final answer
    x = 37,006.44

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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.