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Finding the Fourth Proportional to 47,201.82, 70,807.14 and 15,612

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Solution

The fourth proportional to 47,201.82, 70,807.14 and 15,612 is: 23,419.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,201.82 : 70,807.14 = 15,612 : x
  2. Step 2: Convert to fraction form
    47,201.82/70,807.14 = 15,612/x
  3. Step 3: Cross multiply
    47,201.82x = 70,807.14 × 15,612
  4. Step 4: Simplify right side
    47,201.82x = 1,105,441,069.68
  5. Step 5: Solve for x
    x = 1,105,441,069.68/47,201.82
  6. Step 6: Final answer
    x = 23,419.46

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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.