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Finding the Fourth Proportional to 49,575, 74,374.26 and 16,743

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Solution

The fourth proportional to 49,575, 74,374.26 and 16,743 is: 25,118.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,575 : 74,374.26 = 16,743 : x
  2. Step 2: Convert to fraction form
    49,575/74,374.26 = 16,743/x
  3. Step 3: Cross multiply
    49,575x = 74,374.26 × 16,743
  4. Step 4: Simplify right side
    49,575x = 1,245,248,235.18
  5. Step 5: Solve for x
    x = 1,245,248,235.18/49,575
  6. Step 6: Final answer
    x = 25,118.47

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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.