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Finding the Fourth Proportional to 74,418.64, 102,724.68 and 49,276.24

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Solution

The fourth proportional to 74,418.64, 102,724.68 and 49,276.24 is: 68,019.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,418.64 : 102,724.68 = 49,276.24 : x
  2. Step 2: Convert to fraction form
    74,418.64/102,724.68 = 49,276.24/x
  3. Step 3: Cross multiply
    74,418.64x = 102,724.68 × 49,276.24
  4. Step 4: Simplify right side
    74,418.64x = 5,061,885,985.60
  5. Step 5: Solve for x
    x = 5,061,885,985.60/74,418.64
  6. Step 6: Final answer
    x = 68,019.06

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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.