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Finding the Fourth Proportional to 55,762.84, 76,954.26 and 31,561.88

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Solution

The fourth proportional to 55,762.84, 76,954.26 and 31,561.88 is: 43,556.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,762.84 : 76,954.26 = 31,561.88 : x
  2. Step 2: Convert to fraction form
    55,762.84/76,954.26 = 31,561.88/x
  3. Step 3: Cross multiply
    55,762.84x = 76,954.26 × 31,561.88
  4. Step 4: Simplify right side
    55,762.84x = 2,428,821,119.61
  5. Step 5: Solve for x
    x = 2,428,821,119.61/55,762.84
  6. Step 6: Final answer
    x = 43,556.27

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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.