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Finding the Fourth Proportional to 66,538.88, 91,824 and 36,730.88

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Solution

The fourth proportional to 66,538.88, 91,824 and 36,730.88 is: 50,688.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,538.88 : 91,824 = 36,730.88 : x
  2. Step 2: Convert to fraction form
    66,538.88/91,824 = 36,730.88/x
  3. Step 3: Cross multiply
    66,538.88x = 91,824 × 36,730.88
  4. Step 4: Simplify right side
    66,538.88x = 3,372,776,325.12
  5. Step 5: Solve for x
    x = 3,372,776,325.12/66,538.88
  6. Step 6: Final answer
    x = 50,688.81

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1.5x scale

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.