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Finding the Fourth Proportional to 46,466.64, 69,527.72 and 27,756.84

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Solution

The fourth proportional to 46,466.64, 69,527.72 and 27,756.84 is: 41,532.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,466.64 : 69,527.72 = 27,756.84 : x
  2. Step 2: Convert to fraction form
    46,466.64/69,527.72 = 27,756.84/x
  3. Step 3: Cross multiply
    46,466.64x = 69,527.72 × 27,756.84
  4. Step 4: Simplify right side
    46,466.64x = 1,929,869,799.60
  5. Step 5: Solve for x
    x = 1,929,869,799.60/46,466.64
  6. Step 6: Final answer
    x = 41,532.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.