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Finding the Fourth Proportional to 23,878.07, 35,807.88 and 8,078.90

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Solution

The fourth proportional to 23,878.07, 35,807.88 and 8,078.90 is: 12,115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,878.07 : 35,807.88 = 8,078.90 : x
  2. Step 2: Convert to fraction form
    23,878.07/35,807.88 = 8,078.90/x
  3. Step 3: Cross multiply
    23,878.07x = 35,807.88 × 8,078.90
  4. Step 4: Simplify right side
    23,878.07x = 289,288,281.73
  5. Step 5: Solve for x
    x = 289,288,281.73/23,878.07
  6. Step 6: Final answer
    x = 12,115.23

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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.