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Finding the Fourth Proportional to 32,584,101.20, 48,907,644.60 and 16,428,294.80

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Solution

The fourth proportional to 32,584,101.20, 48,907,644.60 and 16,428,294.80 is: 24,658,320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,584,101.20 : 48,907,644.60 = 16,428,294.80 : x
  2. Step 2: Convert to fraction form
    32,584,101.20/48,907,644.60 = 16,428,294.80/x
  3. Step 3: Cross multiply
    32,584,101.20x = 48,907,644.60 × 16,428,294.80
  4. Step 4: Simplify right side
    32,584,101.20x = 803,469,203,462,428.12
  5. Step 5: Solve for x
    x = 803,469,203,462,428.12/32,584,101.20
  6. Step 6: Final answer
    x = 24,658,320.28

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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.