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Finding the Fourth Proportional to 48,962, 67,573.32 and 29,090

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Solution

The fourth proportional to 48,962, 67,573.32 and 29,090 is: 40,147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,962 : 67,573.32 = 29,090 : x
  2. Step 2: Convert to fraction form
    48,962/67,573.32 = 29,090/x
  3. Step 3: Cross multiply
    48,962x = 67,573.32 × 29,090
  4. Step 4: Simplify right side
    48,962x = 1,965,707,878.80
  5. Step 5: Solve for x
    x = 1,965,707,878.80/48,962
  6. Step 6: Final answer
    x = 40,147.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.