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Finding the Fourth Proportional to 72,878.38, 100,569.54 and 41,050.24

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Solution

The fourth proportional to 72,878.38, 100,569.54 and 41,050.24 is: 56,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,878.38 : 100,569.54 = 41,050.24 : x
  2. Step 2: Convert to fraction form
    72,878.38/100,569.54 = 41,050.24/x
  3. Step 3: Cross multiply
    72,878.38x = 100,569.54 × 41,050.24
  4. Step 4: Simplify right side
    72,878.38x = 4,128,403,753.69
  5. Step 5: Solve for x
    x = 4,128,403,753.69/72,878.38
  6. Step 6: Final answer
    x = 56,647.85

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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.