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Finding the Fourth Proportional to 66,176, 91,322.88 and 36,368.64

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Solution

The fourth proportional to 66,176, 91,322.88 and 36,368.64 is: 50,188.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,176 : 91,322.88 = 36,368.64 : x
  2. Step 2: Convert to fraction form
    66,176/91,322.88 = 36,368.64/x
  3. Step 3: Cross multiply
    66,176x = 91,322.88 × 36,368.64
  4. Step 4: Simplify right side
    66,176x = 3,321,288,946.48
  5. Step 5: Solve for x
    x = 3,321,288,946.48/66,176
  6. Step 6: Final answer
    x = 50,188.72

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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.