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Finding the Fourth Proportional to 30,314.38, 41,833.92 and 17,570.04

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Solution

The fourth proportional to 30,314.38, 41,833.92 and 17,570.04 is: 24,246.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,314.38 : 41,833.92 = 17,570.04 : x
  2. Step 2: Convert to fraction form
    30,314.38/41,833.92 = 17,570.04/x
  3. Step 3: Cross multiply
    30,314.38x = 41,833.92 × 17,570.04
  4. Step 4: Simplify right side
    30,314.38x = 735,023,647.76
  5. Step 5: Solve for x
    x = 735,023,647.76/30,314.38
  6. Step 6: Final answer
    x = 24,246.70

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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.