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Finding the Fourth Proportional to 55,342.20, 83,013.48 and 13,789.20

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Solution

The fourth proportional to 55,342.20, 83,013.48 and 13,789.20 is: 20,683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,342.20 : 83,013.48 = 13,789.20 : x
  2. Step 2: Convert to fraction form
    55,342.20/83,013.48 = 13,789.20/x
  3. Step 3: Cross multiply
    55,342.20x = 83,013.48 × 13,789.20
  4. Step 4: Simplify right side
    55,342.20x = 1,144,689,478.42
  5. Step 5: Solve for x
    x = 1,144,689,478.42/55,342.20
  6. Step 6: Final answer
    x = 20,683.84

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1.5x scale

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.