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Finding the Fourth Proportional to 52,004.32, 71,765.94 and 28,130.96

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Solution

The fourth proportional to 52,004.32, 71,765.94 and 28,130.96 is: 38,820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,004.32 : 71,765.94 = 28,130.96 : x
  2. Step 2: Convert to fraction form
    52,004.32/71,765.94 = 28,130.96/x
  3. Step 3: Cross multiply
    52,004.32x = 71,765.94 × 28,130.96
  4. Step 4: Simplify right side
    52,004.32x = 2,018,844,787.50
  5. Step 5: Solve for x
    x = 2,018,844,787.50/52,004.32
  6. Step 6: Final answer
    x = 38,820.71

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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.