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Finding the Fourth Proportional to 62,189.78, 85,821.53 and 33,894.86

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Solution

The fourth proportional to 62,189.78, 85,821.53 and 33,894.86 is: 46,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,189.78 : 85,821.53 = 33,894.86 : x
  2. Step 2: Convert to fraction form
    62,189.78/85,821.53 = 33,894.86/x
  3. Step 3: Cross multiply
    62,189.78x = 85,821.53 × 33,894.86
  4. Step 4: Simplify right side
    62,189.78x = 2,908,908,145.75
  5. Step 5: Solve for x
    x = 2,908,908,145.75/62,189.78
  6. Step 6: Final answer
    x = 46,774.70

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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.