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Finding the Fourth Proportional to 76,971.60, 115,399.80 and 41,950.80

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Solution

The fourth proportional to 76,971.60, 115,399.80 and 41,950.80 is: 62,894.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,971.60 : 115,399.80 = 41,950.80 : x
  2. Step 2: Convert to fraction form
    76,971.60/115,399.80 = 41,950.80/x
  3. Step 3: Cross multiply
    76,971.60x = 115,399.80 × 41,950.80
  4. Step 4: Simplify right side
    76,971.60x = 4,841,113,929.84
  5. Step 5: Solve for x
    x = 4,841,113,929.84/76,971.60
  6. Step 6: Final answer
    x = 62,894.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.