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Finding the Fourth Proportional to 47,357.40, 70,949.70 and 38,544.60

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Solution

The fourth proportional to 47,357.40, 70,949.70 and 38,544.60 is: 57,746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,357.40 : 70,949.70 = 38,544.60 : x
  2. Step 2: Convert to fraction form
    47,357.40/70,949.70 = 38,544.60/x
  3. Step 3: Cross multiply
    47,357.40x = 70,949.70 × 38,544.60
  4. Step 4: Simplify right side
    47,357.40x = 2,734,727,806.62
  5. Step 5: Solve for x
    x = 2,734,727,806.62/47,357.40
  6. Step 6: Final answer
    x = 57,746.58

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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.