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Finding the Fourth Proportional to 47,597.40, 71,309.70 and 38,784.60

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Solution

The fourth proportional to 47,597.40, 71,309.70 and 38,784.60 is: 58,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,597.40 : 71,309.70 = 38,784.60 : x
  2. Step 2: Convert to fraction form
    47,597.40/71,309.70 = 38,784.60/x
  3. Step 3: Cross multiply
    47,597.40x = 71,309.70 × 38,784.60
  4. Step 4: Simplify right side
    47,597.40x = 2,765,718,190.62
  5. Step 5: Solve for x
    x = 2,765,718,190.62/47,597.40
  6. Step 6: Final answer
    x = 58,106.50

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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.