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Finding the Fourth Proportional to 32,455.44, 48,647.16 and 14,907.60

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Solution

The fourth proportional to 32,455.44, 48,647.16 and 14,907.60 is: 22,344.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,455.44 : 48,647.16 = 14,907.60 : x
  2. Step 2: Convert to fraction form
    32,455.44/48,647.16 = 14,907.60/x
  3. Step 3: Cross multiply
    32,455.44x = 48,647.16 × 14,907.60
  4. Step 4: Simplify right side
    32,455.44x = 725,212,402.42
  5. Step 5: Solve for x
    x = 725,212,402.42/32,455.44
  6. Step 6: Final answer
    x = 22,344.86

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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.