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Finding the Fourth Proportional to 101,795.52, 140,477.85 and 57,083.52

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Solution

The fourth proportional to 101,795.52, 140,477.85 and 57,083.52 is: 78,775.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,795.52 : 140,477.85 = 57,083.52 : x
  2. Step 2: Convert to fraction form
    101,795.52/140,477.85 = 57,083.52/x
  3. Step 3: Cross multiply
    101,795.52x = 140,477.85 × 57,083.52
  4. Step 4: Simplify right side
    101,795.52x = 8,018,970,160.03
  5. Step 5: Solve for x
    x = 8,018,970,160.03/101,795.52
  6. Step 6: Final answer
    x = 78,775.28

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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.