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Finding the Fourth Proportional to 38,567.57, 53,222.54 and 21,800.57

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Solution

The fourth proportional to 38,567.57, 53,222.54 and 21,800.57 is: 30,084.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,567.57 : 53,222.54 = 21,800.57 : x
  2. Step 2: Convert to fraction form
    38,567.57/53,222.54 = 21,800.57/x
  3. Step 3: Cross multiply
    38,567.57x = 53,222.54 × 21,800.57
  4. Step 4: Simplify right side
    38,567.57x = 1,160,281,333.73
  5. Step 5: Solve for x
    x = 1,160,281,333.73/38,567.57
  6. Step 6: Final answer
    x = 30,084.38

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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.