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Finding the Fourth Proportional to 52,027.86, 71,797.86 and 28,154.10

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Solution

The fourth proportional to 52,027.86, 71,797.86 and 28,154.10 is: 38,852.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,027.86 : 71,797.86 = 28,154.10 : x
  2. Step 2: Convert to fraction form
    52,027.86/71,797.86 = 28,154.10/x
  3. Step 3: Cross multiply
    52,027.86x = 71,797.86 × 28,154.10
  4. Step 4: Simplify right side
    52,027.86x = 2,021,404,130.23
  5. Step 5: Solve for x
    x = 2,021,404,130.23/52,027.86
  6. Step 6: Final answer
    x = 38,852.34

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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.