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Finding the Fourth Proportional to 38,394.50, 52,984.50 and 21,627.50

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Solution

The fourth proportional to 38,394.50, 52,984.50 and 21,627.50 is: 29,846.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,394.50 : 52,984.50 = 21,627.50 : x
  2. Step 2: Convert to fraction form
    38,394.50/52,984.50 = 21,627.50/x
  3. Step 3: Cross multiply
    38,394.50x = 52,984.50 × 21,627.50
  4. Step 4: Simplify right side
    38,394.50x = 1,145,922,273.75
  5. Step 5: Solve for x
    x = 1,145,922,273.75/38,394.50
  6. Step 6: Final answer
    x = 29,846.00

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1.5x scale

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.