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Finding the Fourth Proportional to 57,877, 86,815.50 and 14,101

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Solution

The fourth proportional to 57,877, 86,815.50 and 14,101 is: 21,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,877 : 86,815.50 = 14,101 : x
  2. Step 2: Convert to fraction form
    57,877/86,815.50 = 14,101/x
  3. Step 3: Cross multiply
    57,877x = 86,815.50 × 14,101
  4. Step 4: Simplify right side
    57,877x = 1,224,185,365.50
  5. Step 5: Solve for x
    x = 1,224,185,365.50/57,877
  6. Step 6: Final answer
    x = 21,151.50

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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.