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Finding the Fourth Proportional to 66,892.50, 92,326.05 and 40,041

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Solution

The fourth proportional to 66,892.50, 92,326.05 and 40,041 is: 55,265.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,892.50 : 92,326.05 = 40,041 : x
  2. Step 2: Convert to fraction form
    66,892.50/92,326.05 = 40,041/x
  3. Step 3: Cross multiply
    66,892.50x = 92,326.05 × 40,041
  4. Step 4: Simplify right side
    66,892.50x = 3,696,827,368.05
  5. Step 5: Solve for x
    x = 3,696,827,368.05/66,892.50
  6. Step 6: Final answer
    x = 55,265.20

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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.