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Finding the Fourth Proportional to 30,539.03, 42,143.09 and 16,741.49

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Solution

The fourth proportional to 30,539.03, 42,143.09 and 16,741.49 is: 23,102.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,539.03 : 42,143.09 = 16,741.49 : x
  2. Step 2: Convert to fraction form
    30,539.03/42,143.09 = 16,741.49/x
  3. Step 3: Cross multiply
    30,539.03x = 42,143.09 × 16,741.49
  4. Step 4: Simplify right side
    30,539.03x = 705,537,825.38
  5. Step 5: Solve for x
    x = 705,537,825.38/30,539.03
  6. Step 6: Final answer
    x = 23,102.83

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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.