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Finding the Fourth Proportional to 49,745.62, 74,602.95 and 16,458.22

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Solution

The fourth proportional to 49,745.62, 74,602.95 and 16,458.22 is: 24,682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,745.62 : 74,602.95 = 16,458.22 : x
  2. Step 2: Convert to fraction form
    49,745.62/74,602.95 = 16,458.22/x
  3. Step 3: Cross multiply
    49,745.62x = 74,602.95 × 16,458.22
  4. Step 4: Simplify right side
    49,745.62x = 1,227,831,763.75
  5. Step 5: Solve for x
    x = 1,227,831,763.75/49,745.62
  6. Step 6: Final answer
    x = 24,682.21

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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.