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Finding the Fourth Proportional to 35,886.78, 49,525.38 and 20,780.10

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Solution

The fourth proportional to 35,886.78, 49,525.38 and 20,780.10 is: 28,677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,886.78 : 49,525.38 = 20,780.10 : x
  2. Step 2: Convert to fraction form
    35,886.78/49,525.38 = 20,780.10/x
  3. Step 3: Cross multiply
    35,886.78x = 49,525.38 × 20,780.10
  4. Step 4: Simplify right side
    35,886.78x = 1,029,142,348.94
  5. Step 5: Solve for x
    x = 1,029,142,348.94/35,886.78
  6. Step 6: Final answer
    x = 28,677.48

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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.