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Finding the Fourth Proportional to 66,674.48, 92,013.64 and 36,458

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Solution

The fourth proportional to 66,674.48, 92,013.64 and 36,458 is: 50,313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,674.48 : 92,013.64 = 36,458 : x
  2. Step 2: Convert to fraction form
    66,674.48/92,013.64 = 36,458/x
  3. Step 3: Cross multiply
    66,674.48x = 92,013.64 × 36,458
  4. Step 4: Simplify right side
    66,674.48x = 3,354,633,287.12
  5. Step 5: Solve for x
    x = 3,354,633,287.12/66,674.48
  6. Step 6: Final answer
    x = 50,313.60

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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.