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Finding the Fourth Proportional to 30,475.81, 42,082.58 and 19,164.24

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Solution

The fourth proportional to 30,475.81, 42,082.58 and 19,164.24 is: 26,462.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,475.81 : 42,082.58 = 19,164.24 : x
  2. Step 2: Convert to fraction form
    30,475.81/42,082.58 = 19,164.24/x
  3. Step 3: Cross multiply
    30,475.81x = 42,082.58 × 19,164.24
  4. Step 4: Simplify right side
    30,475.81x = 806,480,356.71
  5. Step 5: Solve for x
    x = 806,480,356.71/30,475.81
  6. Step 6: Final answer
    x = 26,462.97

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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.