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Finding the Fourth Proportional to 48,965, 67,577.46 and 29,093

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Solution

The fourth proportional to 48,965, 67,577.46 and 29,093 is: 40,151.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,965 : 67,577.46 = 29,093 : x
  2. Step 2: Convert to fraction form
    48,965/67,577.46 = 29,093/x
  3. Step 3: Cross multiply
    48,965x = 67,577.46 × 29,093
  4. Step 4: Simplify right side
    48,965x = 1,966,031,043.78
  5. Step 5: Solve for x
    x = 1,966,031,043.78/48,965
  6. Step 6: Final answer
    x = 40,151.76

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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.