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Finding the Fourth Proportional to 52,750.32, 72,761.85 and 36,828.96

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Solution

The fourth proportional to 52,750.32, 72,761.85 and 36,828.96 is: 50,800.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,750.32 : 72,761.85 = 36,828.96 : x
  2. Step 2: Convert to fraction form
    52,750.32/72,761.85 = 36,828.96/x
  3. Step 3: Cross multiply
    52,750.32x = 72,761.85 × 36,828.96
  4. Step 4: Simplify right side
    52,750.32x = 2,679,743,263.18
  5. Step 5: Solve for x
    x = 2,679,743,263.18/52,750.32
  6. Step 6: Final answer
    x = 50,800.51

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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.