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Finding the Fourth Proportional to 52,110, 71,911.80 and 28,236.48

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Solution

The fourth proportional to 52,110, 71,911.80 and 28,236.48 is: 38,966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,110 : 71,911.80 = 28,236.48 : x
  2. Step 2: Convert to fraction form
    52,110/71,911.80 = 28,236.48/x
  3. Step 3: Cross multiply
    52,110x = 71,911.80 × 28,236.48
  4. Step 4: Simplify right side
    52,110x = 2,030,536,102.46
  5. Step 5: Solve for x
    x = 2,030,536,102.46/52,110
  6. Step 6: Final answer
    x = 38,966.34

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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.