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Finding the Fourth Proportional to 55,806.71, 77,009.22 and 31,600.69

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Solution

The fourth proportional to 55,806.71, 77,009.22 and 31,600.69 is: 43,606.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,806.71 : 77,009.22 = 31,600.69 : x
  2. Step 2: Convert to fraction form
    55,806.71/77,009.22 = 31,600.69/x
  3. Step 3: Cross multiply
    55,806.71x = 77,009.22 × 31,600.69
  4. Step 4: Simplify right side
    55,806.71x = 2,433,544,295.84
  5. Step 5: Solve for x
    x = 2,433,544,295.84/55,806.71
  6. Step 6: Final answer
    x = 43,606.67

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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.