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Finding the Fourth Proportional to 47,070.36, 70,608 and 20,775.36

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Solution

The fourth proportional to 47,070.36, 70,608 and 20,775.36 is: 31,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,070.36 : 70,608 = 20,775.36 : x
  2. Step 2: Convert to fraction form
    47,070.36/70,608 = 20,775.36/x
  3. Step 3: Cross multiply
    47,070.36x = 70,608 × 20,775.36
  4. Step 4: Simplify right side
    47,070.36x = 1,466,906,618.88
  5. Step 5: Solve for x
    x = 1,466,906,618.88/47,070.36
  6. Step 6: Final answer
    x = 31,164.13

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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.