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Finding the Fourth Proportional to 55,292.30, 82,938.50 and 13,739.30

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Solution

The fourth proportional to 55,292.30, 82,938.50 and 13,739.30 is: 20,608.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,292.30 : 82,938.50 = 13,739.30 : x
  2. Step 2: Convert to fraction form
    55,292.30/82,938.50 = 13,739.30/x
  3. Step 3: Cross multiply
    55,292.30x = 82,938.50 × 13,739.30
  4. Step 4: Simplify right side
    55,292.30x = 1,139,516,449.66
  5. Step 5: Solve for x
    x = 1,139,516,449.66/55,292.30
  6. Step 6: Final answer
    x = 20,608.96

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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.