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Finding the Fourth Proportional to 98,298, 147,447 and 32,634

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Solution

The fourth proportional to 98,298, 147,447 and 32,634 is: 48,951

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,298 : 147,447 = 32,634 : x
  2. Step 2: Convert to fraction form
    98,298/147,447 = 32,634/x
  3. Step 3: Cross multiply
    98,298x = 147,447 × 32,634
  4. Step 4: Simplify right side
    98,298x = 4,811,785,398
  5. Step 5: Solve for x
    x = 4,811,785,398/98,298
  6. Step 6: Final answer
    x = 48,951

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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.