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Finding the Fourth Proportional to 49,697.98, 74,489.98 and 24,682.12

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Solution

The fourth proportional to 49,697.98, 74,489.98 and 24,682.12 is: 36,994.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,697.98 : 74,489.98 = 24,682.12 : x
  2. Step 2: Convert to fraction form
    49,697.98/74,489.98 = 24,682.12/x
  3. Step 3: Cross multiply
    49,697.98x = 74,489.98 × 24,682.12
  4. Step 4: Simplify right side
    49,697.98x = 1,838,570,423.51
  5. Step 5: Solve for x
    x = 1,838,570,423.51/49,697.98
  6. Step 6: Final answer
    x = 36,994.87

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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.