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Finding the Fourth Proportional to 30,038.28, 41,452.02 and 16,609.32

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Solution

The fourth proportional to 30,038.28, 41,452.02 and 16,609.32 is: 22,920.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,038.28 : 41,452.02 = 16,609.32 : x
  2. Step 2: Convert to fraction form
    30,038.28/41,452.02 = 16,609.32/x
  3. Step 3: Cross multiply
    30,038.28x = 41,452.02 × 16,609.32
  4. Step 4: Simplify right side
    30,038.28x = 688,489,864.83
  5. Step 5: Solve for x
    x = 688,489,864.83/30,038.28
  6. Step 6: Final answer
    x = 22,920.42

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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.