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Finding the Fourth Proportional to 44,349, 61,201.70 and 24,477

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Solution

The fourth proportional to 44,349, 61,201.70 and 24,477 is: 33,778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,349 : 61,201.70 = 24,477 : x
  2. Step 2: Convert to fraction form
    44,349/61,201.70 = 24,477/x
  3. Step 3: Cross multiply
    44,349x = 61,201.70 × 24,477
  4. Step 4: Simplify right side
    44,349x = 1,498,034,010.90
  5. Step 5: Solve for x
    x = 1,498,034,010.90/44,349
  6. Step 6: Final answer
    x = 33,778.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.