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Finding the Fourth Proportional to 55,476.96, 83,200.50 and 25,865.88

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Solution

The fourth proportional to 55,476.96, 83,200.50 and 25,865.88 is: 38,791.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,476.96 : 83,200.50 = 25,865.88 : x
  2. Step 2: Convert to fraction form
    55,476.96/83,200.50 = 25,865.88/x
  3. Step 3: Cross multiply
    55,476.96x = 83,200.50 × 25,865.88
  4. Step 4: Simplify right side
    55,476.96x = 2,152,054,148.94
  5. Step 5: Solve for x
    x = 2,152,054,148.94/55,476.96
  6. Step 6: Final answer
    x = 38,791.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.