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Finding the Fourth Proportional to 76,159.73, 105,101.74 and 41,707.50

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Solution

The fourth proportional to 76,159.73, 105,101.74 and 41,707.50 is: 57,557.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,159.73 : 105,101.74 = 41,707.50 : x
  2. Step 2: Convert to fraction form
    76,159.73/105,101.74 = 41,707.50/x
  3. Step 3: Cross multiply
    76,159.73x = 105,101.74 × 41,707.50
  4. Step 4: Simplify right side
    76,159.73x = 4,383,530,821.05
  5. Step 5: Solve for x
    x = 4,383,530,821.05/76,159.73
  6. Step 6: Final answer
    x = 57,557.07

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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.