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Finding the Fourth Proportional to 49,668.80, 74,461.20 and 21,567.64

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Solution

The fourth proportional to 49,668.80, 74,461.20 and 21,567.64 is: 32,333.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,668.80 : 74,461.20 = 21,567.64 : x
  2. Step 2: Convert to fraction form
    49,668.80/74,461.20 = 21,567.64/x
  3. Step 3: Cross multiply
    49,668.80x = 74,461.20 × 21,567.64
  4. Step 4: Simplify right side
    49,668.80x = 1,605,952,355.57
  5. Step 5: Solve for x
    x = 1,605,952,355.57/49,668.80
  6. Step 6: Final answer
    x = 32,333.22

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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.