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Finding the Fourth Proportional to 55,762.93, 76,954.20 and 30,270.34

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Solution

The fourth proportional to 55,762.93, 76,954.20 and 30,270.34 is: 41,773.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,762.93 : 76,954.20 = 30,270.34 : x
  2. Step 2: Convert to fraction form
    55,762.93/76,954.20 = 30,270.34/x
  3. Step 3: Cross multiply
    55,762.93x = 76,954.20 × 30,270.34
  4. Step 4: Simplify right side
    55,762.93x = 2,329,429,951.38
  5. Step 5: Solve for x
    x = 2,329,429,951.38/55,762.93
  6. Step 6: Final answer
    x = 41,773.81

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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.