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Finding the Fourth Proportional to 47,119.33, 70,668.02 and 13,830.49

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Solution

The fourth proportional to 47,119.33, 70,668.02 and 13,830.49 is: 20,742.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,119.33 : 70,668.02 = 13,830.49 : x
  2. Step 2: Convert to fraction form
    47,119.33/70,668.02 = 13,830.49/x
  3. Step 3: Cross multiply
    47,119.33x = 70,668.02 × 13,830.49
  4. Step 4: Simplify right side
    47,119.33x = 977,373,201.84
  5. Step 5: Solve for x
    x = 977,373,201.84/47,119.33
  6. Step 6: Final answer
    x = 20,742.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.