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Finding the Fourth Proportional to 30,576.38, 42,155.91 and 19,802.12

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Solution

The fourth proportional to 30,576.38, 42,155.91 and 19,802.12 is: 27,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,576.38 : 42,155.91 = 19,802.12 : x
  2. Step 2: Convert to fraction form
    30,576.38/42,155.91 = 19,802.12/x
  3. Step 3: Cross multiply
    30,576.38x = 42,155.91 × 19,802.12
  4. Step 4: Simplify right side
    30,576.38x = 834,776,177.75
  5. Step 5: Solve for x
    x = 834,776,177.75/30,576.38
  6. Step 6: Final answer
    x = 27,301.35

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Why These Related Problems?

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