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Finding the Fourth Proportional to 49,762.44, 74,619.36 and 21,706.20

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Solution

The fourth proportional to 49,762.44, 74,619.36 and 21,706.20 is: 32,548.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,762.44 : 74,619.36 = 21,706.20 : x
  2. Step 2: Convert to fraction form
    49,762.44/74,619.36 = 21,706.20/x
  3. Step 3: Cross multiply
    49,762.44x = 74,619.36 × 21,706.20
  4. Step 4: Simplify right side
    49,762.44x = 1,619,702,752.03
  5. Step 5: Solve for x
    x = 1,619,702,752.03/49,762.44
  6. Step 6: Final answer
    x = 32,548.70

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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.