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Finding the Fourth Proportional to 83,234.40, 124,851.60 and 27,830.40

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Solution

The fourth proportional to 83,234.40, 124,851.60 and 27,830.40 is: 41,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,234.40 : 124,851.60 = 27,830.40 : x
  2. Step 2: Convert to fraction form
    83,234.40/124,851.60 = 27,830.40/x
  3. Step 3: Cross multiply
    83,234.40x = 124,851.60 × 27,830.40
  4. Step 4: Simplify right side
    83,234.40x = 3,474,669,968.64
  5. Step 5: Solve for x
    x = 3,474,669,968.64/83,234.40
  6. Step 6: Final answer
    x = 41,745.60

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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.