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Finding the Fourth Proportional to 29,874.82, 44,791.47 and 13,225.77

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Solution

The fourth proportional to 29,874.82, 44,791.47 and 13,225.77 is: 19,829.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,874.82 : 44,791.47 = 13,225.77 : x
  2. Step 2: Convert to fraction form
    29,874.82/44,791.47 = 13,225.77/x
  3. Step 3: Cross multiply
    29,874.82x = 44,791.47 × 13,225.77
  4. Step 4: Simplify right side
    29,874.82x = 592,401,598.60
  5. Step 5: Solve for x
    x = 592,401,598.60/29,874.82
  6. Step 6: Final answer
    x = 19,829.46

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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.