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Finding the Fourth Proportional to 30,521.90, 42,119.24 and 16,909.38

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Solution

The fourth proportional to 30,521.90, 42,119.24 and 16,909.38 is: 23,334.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,521.90 : 42,119.24 = 16,909.38 : x
  2. Step 2: Convert to fraction form
    30,521.90/42,119.24 = 16,909.38/x
  3. Step 3: Cross multiply
    30,521.90x = 42,119.24 × 16,909.38
  4. Step 4: Simplify right side
    30,521.90x = 712,210,149.92
  5. Step 5: Solve for x
    x = 712,210,149.92/30,521.90
  6. Step 6: Final answer
    x = 23,334.40

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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.