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Finding the Fourth Proportional to 30,675.38, 42,321.01 and 20,071.17

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Solution

The fourth proportional to 30,675.38, 42,321.01 and 20,071.17 is: 27,691.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,675.38 : 42,321.01 = 20,071.17 : x
  2. Step 2: Convert to fraction form
    30,675.38/42,321.01 = 20,071.17/x
  3. Step 3: Cross multiply
    30,675.38x = 42,321.01 × 20,071.17
  4. Step 4: Simplify right side
    30,675.38x = 849,432,186.28
  5. Step 5: Solve for x
    x = 849,432,186.28/30,675.38
  6. Step 6: Final answer
    x = 27,691.01

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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.