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Finding the Fourth Proportional to 98,629, 147,943.50 and 32,965

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Solution

The fourth proportional to 98,629, 147,943.50 and 32,965 is: 49,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,629 : 147,943.50 = 32,965 : x
  2. Step 2: Convert to fraction form
    98,629/147,943.50 = 32,965/x
  3. Step 3: Cross multiply
    98,629x = 147,943.50 × 32,965
  4. Step 4: Simplify right side
    98,629x = 4,876,957,477.50
  5. Step 5: Solve for x
    x = 4,876,957,477.50/98,629
  6. Step 6: Final answer
    x = 49,447.50

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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.