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Finding the Fourth Proportional to 47,671.80, 65,787.60 and 26,451.42

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Solution

The fourth proportional to 47,671.80, 65,787.60 and 26,451.42 is: 36,503.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,671.80 : 65,787.60 = 26,451.42 : x
  2. Step 2: Convert to fraction form
    47,671.80/65,787.60 = 26,451.42/x
  3. Step 3: Cross multiply
    47,671.80x = 65,787.60 × 26,451.42
  4. Step 4: Simplify right side
    47,671.80x = 1,740,175,438.39
  5. Step 5: Solve for x
    x = 1,740,175,438.39/47,671.80
  6. Step 6: Final answer
    x = 36,503.25

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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.