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Finding the Fourth Proportional to 38,241.60, 57,358.08 and 10,536

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Solution

The fourth proportional to 38,241.60, 57,358.08 and 10,536 is: 15,802.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,241.60 : 57,358.08 = 10,536 : x
  2. Step 2: Convert to fraction form
    38,241.60/57,358.08 = 10,536/x
  3. Step 3: Cross multiply
    38,241.60x = 57,358.08 × 10,536
  4. Step 4: Simplify right side
    38,241.60x = 604,324,730.88
  5. Step 5: Solve for x
    x = 604,324,730.88/38,241.60
  6. Step 6: Final answer
    x = 15,802.81

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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.