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Finding the Fourth Proportional to 72,830.88, 100,537.60 and 48,971.36

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Solution

The fourth proportional to 72,830.88, 100,537.60 and 48,971.36 is: 67,601.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,830.88 : 100,537.60 = 48,971.36 : x
  2. Step 2: Convert to fraction form
    72,830.88/100,537.60 = 48,971.36/x
  3. Step 3: Cross multiply
    72,830.88x = 100,537.60 × 48,971.36
  4. Step 4: Simplify right side
    72,830.88x = 4,923,463,003.14
  5. Step 5: Solve for x
    x = 4,923,463,003.14/72,830.88
  6. Step 6: Final answer
    x = 67,601.31

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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.