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Finding the Fourth Proportional to 32,487.94, 48,692.64 and 15,823

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Solution

The fourth proportional to 32,487.94, 48,692.64 and 15,823 is: 23,715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,487.94 : 48,692.64 = 15,823 : x
  2. Step 2: Convert to fraction form
    32,487.94/48,692.64 = 15,823/x
  3. Step 3: Cross multiply
    32,487.94x = 48,692.64 × 15,823
  4. Step 4: Simplify right side
    32,487.94x = 770,463,642.72
  5. Step 5: Solve for x
    x = 770,463,642.72/32,487.94
  6. Step 6: Final answer
    x = 23,715.37

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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.