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Finding the Fourth Proportional to 30,104.50, 45,155.01 and 9,044.09

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Solution

The fourth proportional to 30,104.50, 45,155.01 and 9,044.09 is: 13,565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,104.50 : 45,155.01 = 9,044.09 : x
  2. Step 2: Convert to fraction form
    30,104.50/45,155.01 = 9,044.09/x
  3. Step 3: Cross multiply
    30,104.50x = 45,155.01 × 9,044.09
  4. Step 4: Simplify right side
    30,104.50x = 408,385,748.62
  5. Step 5: Solve for x
    x = 408,385,748.62/30,104.50
  6. Step 6: Final answer
    x = 13,565.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.