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Finding the Fourth Proportional to 57,817.98, 86,688.69 and 32,869.77

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Solution

The fourth proportional to 57,817.98, 86,688.69 and 32,869.77 is: 49,282.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,817.98 : 86,688.69 = 32,869.77 : x
  2. Step 2: Convert to fraction form
    57,817.98/86,688.69 = 32,869.77/x
  3. Step 3: Cross multiply
    57,817.98x = 86,688.69 × 32,869.77
  4. Step 4: Simplify right side
    57,817.98x = 2,849,437,301.90
  5. Step 5: Solve for x
    x = 2,849,437,301.90/57,817.98
  6. Step 6: Final answer
    x = 49,282.89

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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.