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Finding the Fourth Proportional to 55,677.38, 76,816.71 and 31,476

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Solution

The fourth proportional to 55,677.38, 76,816.71 and 31,476 is: 43,426.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,677.38 : 76,816.71 = 31,476 : x
  2. Step 2: Convert to fraction form
    55,677.38/76,816.71 = 31,476/x
  3. Step 3: Cross multiply
    55,677.38x = 76,816.71 × 31,476
  4. Step 4: Simplify right side
    55,677.38x = 2,417,882,763.96
  5. Step 5: Solve for x
    x = 2,417,882,763.96/55,677.38
  6. Step 6: Final answer
    x = 43,426.67

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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.