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Finding the Fourth Proportional to 35,722.35, 49,152.02 and 29,325.38

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Solution

The fourth proportional to 35,722.35, 49,152.02 and 29,325.38 is: 40,350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,722.35 : 49,152.02 = 29,325.38 : x
  2. Step 2: Convert to fraction form
    35,722.35/49,152.02 = 29,325.38/x
  3. Step 3: Cross multiply
    35,722.35x = 49,152.02 × 29,325.38
  4. Step 4: Simplify right side
    35,722.35x = 1,441,401,271.88
  5. Step 5: Solve for x
    x = 1,441,401,271.88/35,722.35
  6. Step 6: Final answer
    x = 40,350.12

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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.