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Finding the Fourth Proportional to 55,801.30, 83,706.50 and 26,203

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Solution

The fourth proportional to 55,801.30, 83,706.50 and 26,203 is: 39,306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,801.30 : 83,706.50 = 26,203 : x
  2. Step 2: Convert to fraction form
    55,801.30/83,706.50 = 26,203/x
  3. Step 3: Cross multiply
    55,801.30x = 83,706.50 × 26,203
  4. Step 4: Simplify right side
    55,801.30x = 2,193,361,419.50
  5. Step 5: Solve for x
    x = 2,193,361,419.50/55,801.30
  6. Step 6: Final answer
    x = 39,306.64

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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.