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Finding the Fourth Proportional to 27,200.70, 40,802.40 and 9,671.90

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Solution

The fourth proportional to 27,200.70, 40,802.40 and 9,671.90 is: 14,508.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,200.70 : 40,802.40 = 9,671.90 : x
  2. Step 2: Convert to fraction form
    27,200.70/40,802.40 = 9,671.90/x
  3. Step 3: Cross multiply
    27,200.70x = 40,802.40 × 9,671.90
  4. Step 4: Simplify right side
    27,200.70x = 394,636,528.55
  5. Step 5: Solve for x
    x = 394,636,528.55/27,200.70
  6. Step 6: Final answer
    x = 14,508.32

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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.