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Finding the Fourth Proportional to 47,357.80, 71,036.70 and 29,847.40

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Solution

The fourth proportional to 47,357.80, 71,036.70 and 29,847.40 is: 44,771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,357.80 : 71,036.70 = 29,847.40 : x
  2. Step 2: Convert to fraction form
    47,357.80/71,036.70 = 29,847.40/x
  3. Step 3: Cross multiply
    47,357.80x = 71,036.70 × 29,847.40
  4. Step 4: Simplify right side
    47,357.80x = 2,120,260,799.58
  5. Step 5: Solve for x
    x = 2,120,260,799.58/47,357.80
  6. Step 6: Final answer
    x = 44,771.10

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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.