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Finding the Fourth Proportional to 32,384.88, 48,603.24 and 16,806.96

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Solution

The fourth proportional to 32,384.88, 48,603.24 and 16,806.96 is: 25,223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,384.88 : 48,603.24 = 16,806.96 : x
  2. Step 2: Convert to fraction form
    32,384.88/48,603.24 = 16,806.96/x
  3. Step 3: Cross multiply
    32,384.88x = 48,603.24 × 16,806.96
  4. Step 4: Simplify right side
    32,384.88x = 816,872,710.55
  5. Step 5: Solve for x
    x = 816,872,710.55/32,384.88
  6. Step 6: Final answer
    x = 25,223.89

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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.