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Finding the Fourth Proportional to 49,596, 74,374.56 and 20,008.32

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Solution

The fourth proportional to 49,596, 74,374.56 and 20,008.32 is: 30,004.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,596 : 74,374.56 = 20,008.32 : x
  2. Step 2: Convert to fraction form
    49,596/74,374.56 = 20,008.32/x
  3. Step 3: Cross multiply
    49,596x = 74,374.56 × 20,008.32
  4. Step 4: Simplify right side
    49,596x = 1,488,109,996.34
  5. Step 5: Solve for x
    x = 1,488,109,996.34/49,596
  6. Step 6: Final answer
    x = 30,004.64

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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.