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Finding the Fourth Proportional to 30,499.38, 42,089.49 and 17,071.92

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Solution

The fourth proportional to 30,499.38, 42,089.49 and 17,071.92 is: 23,559.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,499.38 : 42,089.49 = 17,071.92 : x
  2. Step 2: Convert to fraction form
    30,499.38/42,089.49 = 17,071.92/x
  3. Step 3: Cross multiply
    30,499.38x = 42,089.49 × 17,071.92
  4. Step 4: Simplify right side
    30,499.38x = 718,548,406.12
  5. Step 5: Solve for x
    x = 718,548,406.12/30,499.38
  6. Step 6: Final answer
    x = 23,559.44

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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.