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Finding the Fourth Proportional to 61,827.60, 92,744.10 and 20,274.60

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Solution

The fourth proportional to 61,827.60, 92,744.10 and 20,274.60 is: 30,412.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,827.60 : 92,744.10 = 20,274.60 : x
  2. Step 2: Convert to fraction form
    61,827.60/92,744.10 = 20,274.60/x
  3. Step 3: Cross multiply
    61,827.60x = 92,744.10 × 20,274.60
  4. Step 4: Simplify right side
    61,827.60x = 1,880,349,529.86
  5. Step 5: Solve for x
    x = 1,880,349,529.86/61,827.60
  6. Step 6: Final answer
    x = 30,412.79

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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.