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Finding the Fourth Proportional to 35,730.80, 49,311.54 and 19,820.38

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Solution

The fourth proportional to 35,730.80, 49,311.54 and 19,820.38 is: 27,353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,730.80 : 49,311.54 = 19,820.38 : x
  2. Step 2: Convert to fraction form
    35,730.80/49,311.54 = 19,820.38/x
  3. Step 3: Cross multiply
    35,730.80x = 49,311.54 × 19,820.38
  4. Step 4: Simplify right side
    35,730.80x = 977,373,115.53
  5. Step 5: Solve for x
    x = 977,373,115.53/35,730.80
  6. Step 6: Final answer
    x = 27,353.80

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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.