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Finding the Fourth Proportional to 30,505.14, 42,098.13 and 17,076.96

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Solution

The fourth proportional to 30,505.14, 42,098.13 and 17,076.96 is: 23,566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,505.14 : 42,098.13 = 17,076.96 : x
  2. Step 2: Convert to fraction form
    30,505.14/42,098.13 = 17,076.96/x
  3. Step 3: Cross multiply
    30,505.14x = 42,098.13 × 17,076.96
  4. Step 4: Simplify right side
    30,505.14x = 718,908,082.08
  5. Step 5: Solve for x
    x = 718,908,082.08/30,505.14
  6. Step 6: Final answer
    x = 23,566.79

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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.