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Finding the Fourth Proportional to 30,005.38, 41,407.42 and 17,430.94

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Solution

The fourth proportional to 30,005.38, 41,407.42 and 17,430.94 is: 24,054.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.38 : 41,407.42 = 17,430.94 : x
  2. Step 2: Convert to fraction form
    30,005.38/41,407.42 = 17,430.94/x
  3. Step 3: Cross multiply
    30,005.38x = 41,407.42 × 17,430.94
  4. Step 4: Simplify right side
    30,005.38x = 721,770,002.96
  5. Step 5: Solve for x
    x = 721,770,002.96/30,005.38
  6. Step 6: Final answer
    x = 24,054.69

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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.