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Finding the Fourth Proportional to 55,606.71, 76,742.76 and 31,736.99

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Solution

The fourth proportional to 55,606.71, 76,742.76 and 31,736.99 is: 43,800.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,606.71 : 76,742.76 = 31,736.99 : x
  2. Step 2: Convert to fraction form
    55,606.71/76,742.76 = 31,736.99/x
  3. Step 3: Cross multiply
    55,606.71x = 76,742.76 × 31,736.99
  4. Step 4: Simplify right side
    55,606.71x = 2,435,583,822.98
  5. Step 5: Solve for x
    x = 2,435,583,822.98/55,606.71
  6. Step 6: Final answer
    x = 43,800.18

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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.