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Finding the Fourth Proportional to 60,751.92, 83,837.70 and 33,894.43

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Solution

The fourth proportional to 60,751.92, 83,837.70 and 33,894.43 is: 46,774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,751.92 : 83,837.70 = 33,894.43 : x
  2. Step 2: Convert to fraction form
    60,751.92/83,837.70 = 33,894.43/x
  3. Step 3: Cross multiply
    60,751.92x = 83,837.70 × 33,894.43
  4. Step 4: Simplify right side
    60,751.92x = 2,841,631,054.01
  5. Step 5: Solve for x
    x = 2,841,631,054.01/60,751.92
  6. Step 6: Final answer
    x = 46,774.34

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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.