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Finding the Fourth Proportional to 67,113.42, 92,617.62 and 36,900

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Solution

The fourth proportional to 67,113.42, 92,617.62 and 36,900 is: 50,922.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,113.42 : 92,617.62 = 36,900 : x
  2. Step 2: Convert to fraction form
    67,113.42/92,617.62 = 36,900/x
  3. Step 3: Cross multiply
    67,113.42x = 92,617.62 × 36,900
  4. Step 4: Simplify right side
    67,113.42x = 3,417,590,178
  5. Step 5: Solve for x
    x = 3,417,590,178/67,113.42
  6. Step 6: Final answer
    x = 50,922.61

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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.