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Finding the Fourth Proportional to 74,050.84, 102,083.85 and 52,793.20

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Solution

The fourth proportional to 74,050.84, 102,083.85 and 52,793.20 is: 72,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,050.84 : 102,083.85 = 52,793.20 : x
  2. Step 2: Convert to fraction form
    74,050.84/102,083.85 = 52,793.20/x
  3. Step 3: Cross multiply
    74,050.84x = 102,083.85 × 52,793.20
  4. Step 4: Simplify right side
    74,050.84x = 5,389,333,109.82
  5. Step 5: Solve for x
    x = 5,389,333,109.82/74,050.84
  6. Step 6: Final answer
    x = 72,778.82

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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.