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Finding the Fourth Proportional to 29,877, 44,815.50 and 9,100.50

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Solution

The fourth proportional to 29,877, 44,815.50 and 9,100.50 is: 13,650.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,877 : 44,815.50 = 9,100.50 : x
  2. Step 2: Convert to fraction form
    29,877/44,815.50 = 9,100.50/x
  3. Step 3: Cross multiply
    29,877x = 44,815.50 × 9,100.50
  4. Step 4: Simplify right side
    29,877x = 407,843,457.75
  5. Step 5: Solve for x
    x = 407,843,457.75/29,877
  6. Step 6: Final answer
    x = 13,650.75

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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.