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Finding the Fourth Proportional to 76,167.54, 105,104.79 and 45,539.82

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Solution

The fourth proportional to 76,167.54, 105,104.79 and 45,539.82 is: 62,841.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,167.54 : 105,104.79 = 45,539.82 : x
  2. Step 2: Convert to fraction form
    76,167.54/105,104.79 = 45,539.82/x
  3. Step 3: Cross multiply
    76,167.54x = 105,104.79 × 45,539.82
  4. Step 4: Simplify right side
    76,167.54x = 4,786,453,217.74
  5. Step 5: Solve for x
    x = 4,786,453,217.74/76,167.54
  6. Step 6: Final answer
    x = 62,841.12

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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.