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Finding the Fourth Proportional to 35,734.37, 49,315.91 and 19,820.30

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Solution

The fourth proportional to 35,734.37, 49,315.91 and 19,820.30 is: 27,353.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,734.37 : 49,315.91 = 19,820.30 : x
  2. Step 2: Convert to fraction form
    35,734.37/49,315.91 = 19,820.30/x
  3. Step 3: Cross multiply
    35,734.37x = 49,315.91 × 19,820.30
  4. Step 4: Simplify right side
    35,734.37x = 977,455,785.29
  5. Step 5: Solve for x
    x = 977,455,785.29/35,734.37
  6. Step 6: Final answer
    x = 27,353.38

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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.