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Finding the Fourth Proportional to 50,627.90, 69,865.14 and 27,966.40

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Solution

The fourth proportional to 50,627.90, 69,865.14 and 27,966.40 is: 38,592.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,627.90 : 69,865.14 = 27,966.40 : x
  2. Step 2: Convert to fraction form
    50,627.90/69,865.14 = 27,966.40/x
  3. Step 3: Cross multiply
    50,627.90x = 69,865.14 × 27,966.40
  4. Step 4: Simplify right side
    50,627.90x = 1,953,876,538.63
  5. Step 5: Solve for x
    x = 1,953,876,538.63/50,627.90
  6. Step 6: Final answer
    x = 38,592.89

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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.