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Finding the Fourth Proportional to 30,576.63, 42,177.86 and 19,228.17

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Solution

The fourth proportional to 30,576.63, 42,177.86 and 19,228.17 is: 26,523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,576.63 : 42,177.86 = 19,228.17 : x
  2. Step 2: Convert to fraction form
    30,576.63/42,177.86 = 19,228.17/x
  3. Step 3: Cross multiply
    30,576.63x = 42,177.86 × 19,228.17
  4. Step 4: Simplify right side
    30,576.63x = 811,002,966.18
  5. Step 5: Solve for x
    x = 811,002,966.18/30,576.63
  6. Step 6: Final answer
    x = 26,523.62

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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.