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Finding the Fourth Proportional to 29,735.37, 44,598.94 and 16,432.94

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Solution

The fourth proportional to 29,735.37, 44,598.94 and 16,432.94 is: 24,647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,735.37 : 44,598.94 = 16,432.94 : x
  2. Step 2: Convert to fraction form
    29,735.37/44,598.94 = 16,432.94/x
  3. Step 3: Cross multiply
    29,735.37x = 44,598.94 × 16,432.94
  4. Step 4: Simplify right side
    29,735.37x = 732,891,775.50
  5. Step 5: Solve for x
    x = 732,891,775.50/29,735.37
  6. Step 6: Final answer
    x = 24,647.14

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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.