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Finding the Fourth Proportional to 116,438.22, 174,511.20 and 49,800

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Solution

The fourth proportional to 116,438.22, 174,511.20 and 49,800 is: 74,637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,438.22 : 174,511.20 = 49,800 : x
  2. Step 2: Convert to fraction form
    116,438.22/174,511.20 = 49,800/x
  3. Step 3: Cross multiply
    116,438.22x = 174,511.20 × 49,800
  4. Step 4: Simplify right side
    116,438.22x = 8,690,657,760
  5. Step 5: Solve for x
    x = 8,690,657,760/116,438.22
  6. Step 6: Final answer
    x = 74,637.50

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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.