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Finding the Fourth Proportional to 47,195.82, 70,798.14 and 15,606

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Solution

The fourth proportional to 47,195.82, 70,798.14 and 15,606 is: 23,410.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,195.82 : 70,798.14 = 15,606 : x
  2. Step 2: Convert to fraction form
    47,195.82/70,798.14 = 15,606/x
  3. Step 3: Cross multiply
    47,195.82x = 70,798.14 × 15,606
  4. Step 4: Simplify right side
    47,195.82x = 1,104,875,772.84
  5. Step 5: Solve for x
    x = 1,104,875,772.84/47,195.82
  6. Step 6: Final answer
    x = 23,410.46

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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.