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Finding the Fourth Proportional to 55,334.83, 76,361.17 and 31,461

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Solution

The fourth proportional to 55,334.83, 76,361.17 and 31,461 is: 43,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,334.83 : 76,361.17 = 31,461 : x
  2. Step 2: Convert to fraction form
    55,334.83/76,361.17 = 31,461/x
  3. Step 3: Cross multiply
    55,334.83x = 76,361.17 × 31,461
  4. Step 4: Simplify right side
    55,334.83x = 2,402,398,769.37
  5. Step 5: Solve for x
    x = 2,402,398,769.37/55,334.83
  6. Step 6: Final answer
    x = 43,415.67

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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.